Extensions 1→N→G→Q→1 with N=C₄⋊C₈ and Q=C₂²

Direct product G=N×Q with N=C₄⋊C₈ and Q=C₂²

		d	ρ	Label	ID
C₂²×C₄⋊C₈		128		C2^2xC4:C8	128,1634

Semidirect products G=N:Q with N=C₄⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
C₄⋊C₈⋊₁C₂² = D₄⋊D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:1C2^2	128,351
C₄⋊C₈⋊₂C₂² = C₄².₂₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:2C2^2	128,1768
C₄⋊C₈⋊₃C₂² = C₄².₄₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:3C2^2	128,1770
C₄⋊C₈⋊₄C₂² = C₄².₄₄₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:4C2^2	128,1772
C₄⋊C₈⋊₅C₂² = C₄².₁₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:5C2^2	128,1773
C₄⋊C₈⋊₆C₂² = C₄².₁₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:6C2^2	128,1774
C₄⋊C₈⋊₇C₂² = C₄².₁₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:7C2^2	128,1775
C₄⋊C₈⋊₈C₂² = C₄².₁₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:8C2^2	128,1777
C₄⋊C₈⋊₉C₂² = C₄².₂₁₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:9C2^2	128,1809
C₄⋊C₈⋊₁₀C₂² = C₄².₂₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:10C2^2	128,1813
C₄⋊C₈⋊₁₁C₂² = C₄².₂₂₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:11C2^2	128,1841
C₄⋊C₈⋊₁₂C₂² = C₄².₂₂₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:12C2^2	128,1842
C₄⋊C₈⋊₁₃C₂² = C₄².₂₃₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:13C2^2	128,1846
C₄⋊C₈⋊₁₄C₂² = C₄².₃₅₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:14C2^2	128,1850
C₄⋊C₈⋊₁₅C₂² = C₄².₃₅₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:15C2^2	128,1854
C₄⋊C₈⋊₁₆C₂² = C₄².₃₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:16C2^2	128,1855
C₄⋊C₈⋊₁₇C₂² = C₄².₂₇₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:17C2^2	128,1945
C₄⋊C₈⋊₁₈C₂² = C₄².₂₇₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:18C2^2	128,1947
C₄⋊C₈⋊₁₉C₂² = C₄².₂₇₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:19C2^2	128,1949
C₄⋊C₈⋊₂₀C₂² = C₄².₄₀₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:20C2^2	128,1952
C₄⋊C₈⋊₂₁C₂² = C₄².₄₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:21C2^2	128,1954
C₄⋊C₈⋊₂₂C₂² = C₄².₄₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:22C2^2	128,1956
C₄⋊C₈⋊₂₃C₂² = D₈⋊₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:23C2^2	128,1996
C₄⋊C₈⋊₂₄C₂² = SD₁₆⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:24C2^2	128,1997
C₄⋊C₈⋊₂₅C₂² = SD₁₆⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:25C2^2	128,1998
C₄⋊C₈⋊₂₆C₂² = D₈⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:26C2^2	128,1999
C₄⋊C₈⋊₂₇C₂² = SD₁₆⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:27C2^2	128,2000
C₄⋊C₈⋊₂₈C₂² = D₈⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:28C2^2	128,2004
C₄⋊C₈⋊₂₉C₂² = D₈⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:29C2^2	128,2005
C₄⋊C₈⋊₃₀C₂² = SD₁₆⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:30C2^2	128,2006
C₄⋊C₈⋊₃₁C₂² = SD₁₆⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:31C2^2	128,2007
C₄⋊C₈⋊₃₂C₂² = C₄².₄₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:32C2^2	128,2038
C₄⋊C₈⋊₃₃C₂² = C₄².₄₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:33C2^2	128,2042
C₄⋊C₈⋊₃₄C₂² = C₄².₄₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:34C2^2	128,2043
C₄⋊C₈⋊₃₅C₂² = C₄².₄₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:35C2^2	128,2046
C₄⋊C₈⋊₃₆C₂² = C₄².₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:36C2^2	128,2050
C₄⋊C₈⋊₃₇C₂² = C₄².₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:37C2^2	128,2051
C₄⋊C₈⋊₃₈C₂² = C₄².₄₇₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:38C2^2	128,2054
C₄⋊C₈⋊₃₉C₂² = C₄².₄₇₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:39C2^2	128,2055
C₄⋊C₈⋊₄₀C₂² = C₄².₄₇₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:40C2^2	128,2056
C₄⋊C₈⋊₄₁C₂² = C₄².₄₇₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:41C2^2	128,2057
C₄⋊C₈⋊₄₂C₂² = D₄⋊₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:42C2^2	128,361
C₄⋊C₈⋊₄₃C₂² = D₄.D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:43C2^2	128,371
C₄⋊C₈⋊₄₄C₂² = D₄⋊M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:44C2^2	128,218
C₄⋊C₈⋊₄₅C₂² = D₄⋊₅M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:45C2^2	128,222
C₄⋊C₈⋊₄₆C₂² = C₄².₄₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:46C2^2	128,277
C₄⋊C₈⋊₄₇C₂² = C₄².₈₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:47C2^2	128,287
C₄⋊C₈⋊₄₈C₂² = C₄².₂₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:48C2^2	128,1637
C₄⋊C₈⋊₄₉C₂² = C₄².₂₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:49C2^2	128,1653
C₄⋊C₈⋊₅₀C₂² = C₄².₂₆₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:50C2^2	128,1662
C₄⋊C₈⋊₅₁C₂² = C₂³⋊₃M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:51C2^2	128,1705
C₄⋊C₈⋊₅₂C₂² = C₄².₂₉₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:52C2^2	128,1708
C₄⋊C₈⋊₅₃C₂² = C₄².₂₉₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	32	C4:C8:53C2^2	128,1710
C₄⋊C₈⋊₅₄C₂² = C₂×D₄⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:54C2^2	128,206
C₄⋊C₈⋊₅₅C₂² = C₄².₃₉₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:55C2^2	128,210
C₄⋊C₈⋊₅₆C₂² = C₂×C₄.D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:56C2^2	128,270
C₄⋊C₈⋊₅₇C₂² = C₂×C₄⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:57C2^2	128,1761
C₄⋊C₈⋊₅₈C₂² = C₂×D₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:58C2^2	128,1802
C₄⋊C₈⋊₅₉C₂² = C₄².₂₂₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:59C2^2	128,1832
C₄⋊C₈⋊₆₀C₂² = C₄².₂₆₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:60C2^2	128,1937
C₄⋊C₈⋊₆₁C₂² = D₄×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:61C2^2	128,2011
C₄⋊C₈⋊₆₂C₂² = D₄⋊₄D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:62C2^2	128,2026
C₄⋊C₈⋊₆₃C₂² = C₂×D₄.₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:63C2^2	128,1763
C₄⋊C₈⋊₆₄C₂² = C₂×Q₈.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:64C2^2	128,1766
C₄⋊C₈⋊₆₅C₂² = C₂×D₄.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:65C2^2	128,1804
C₄⋊C₈⋊₆₆C₂² = C₄².₂₂₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:66C2^2	128,1837
C₄⋊C₈⋊₆₇C₂² = C₄².₂₆₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:67C2^2	128,1943
C₄⋊C₈⋊₆₈C₂² = D₈⋊₁₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:68C2^2	128,2012
C₄⋊C₈⋊₆₉C₂² = SD₁₆⋊₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:69C2^2	128,2014
C₄⋊C₈⋊₇₀C₂² = C₄².₄₆₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:70C2^2	128,2028
C₄⋊C₈⋊₇₁C₂² = C₄².₄₆₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:71C2^2	128,2029
C₄⋊C₈⋊₇₂C₂² = C₂×D₄.D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:72C2^2	128,1762
C₄⋊C₈⋊₇₃C₂² = C₂×C₄⋊SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:73C2^2	128,1764
C₄⋊C₈⋊₇₄C₂² = C₂×D₄⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:74C2^2	128,1803
C₄⋊C₈⋊₇₅C₂² = C₄².₂₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:75C2^2	128,1833
C₄⋊C₈⋊₇₆C₂² = C₄².₂₆₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:76C2^2	128,1940
C₄⋊C₈⋊₇₇C₂² = D₄×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:77C2^2	128,2013
C₄⋊C₈⋊₇₈C₂² = D₄⋊₇SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:78C2^2	128,2027
C₄⋊C₈⋊₇₉C₂² = C₂×C₄⋊M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:79C2^2	128,1635
C₄⋊C₈⋊₈₀C₂² = C₂×C₄².₆C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:80C2^2	128,1636
C₄⋊C₈⋊₈₁C₂² = C₂×C₄².₆C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:81C2^2	128,1650
C₄⋊C₈⋊₈₂C₂² = C₂×C₄².₇C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:82C2^2	128,1651
C₄⋊C₈⋊₈₃C₂² = C₄².₆₇₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:83C2^2	128,1652
C₄⋊C₈⋊₈₄C₂² = C₄².₂₆₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:84C2^2	128,1656
C₄⋊C₈⋊₈₅C₂² = C₂×C₈⋊₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:85C2^2	128,1659
C₄⋊C₈⋊₈₆C₂² = C₂×C₈⋊₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8:86C2^2	128,1660
C₄⋊C₈⋊₈₇C₂² = C₄².₂₆₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:87C2^2	128,1661
C₄⋊C₈⋊₈₈C₂² = M₄(2)⋊₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:88C2^2	128,1665
C₄⋊C₈⋊₈₉C₂² = D₄×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:89C2^2	128,1666
C₄⋊C₈⋊₉₀C₂² = D₄⋊₇M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:90C2^2	128,1706
C₄⋊C₈⋊₉₁C₂² = C₄².₆₉₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:91C2^2	128,1707
C₄⋊C₈⋊₉₂C₂² = C₄².₂₉₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	32	C4:C8:92C2^2	128,1709
C₄⋊C₈⋊₉₃C₂² = C₂×C₄².₁₂C₄	φ: trivial image	64	C4:C8:93C2^2	128,1649
C₄⋊C₈⋊₉₄C₂² = D₄×C₂×C₈	φ: trivial image	64	C4:C8:94C2^2	128,1658
C₄⋊C₈⋊₉₅C₂² = C₄².₆₉₁C₂³	φ: trivial image	32	C4:C8:95C2^2	128,1704

Non-split extensions G=N.Q with N=C₄⋊C₈ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
C₄⋊C₈.₁C₂² = D₄⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.1C2^2	128,354
C₄⋊C₈.₂C₂² = C₄².₁₈₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.2C2^2	128,356
C₄⋊C₈.₃C₂² = D₄⋊₃D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.3C2^2	128,357
C₄⋊C₈.₄C₂² = C₄².₁₈₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.4C2^2	128,360
C₄⋊C₈.₅C₂² = C₄².₁₉₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.5C2^2	128,362
C₄⋊C₈.₆C₂² = Q₈⋊₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.6C2^2	128,363
C₄⋊C₈.₇C₂² = Q₈⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.7C2^2	128,365
C₄⋊C₈.₈C₂² = Q₈.Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.8C2^2	128,368
C₄⋊C₈.₉C₂² = D₄.₃Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.9C2^2	128,369
C₄⋊C₈.₁₀C₂² = C₄².₂₀₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.10C2^2	128,372
C₄⋊C₈.₁₁C₂² = Q₈.D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.11C2^2	128,373
C₄⋊C₈.₁₂C₂² = D₄⋊₃Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.12C2^2	128,376
C₄⋊C₈.₁₃C₂² = Q₈⋊₃Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.13C2^2	128,377
C₄⋊C₈.₁₄C₂² = Q₈⋊₄Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.14C2^2	128,380
C₄⋊C₈.₁₅C₂² = D₄⋊₄Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.15C2^2	128,381
C₄⋊C₈.₁₆C₂² = C₄².₂₁₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.16C2^2	128,384
C₄⋊C₈.₁₇C₂² = Q₈.SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.17C2^2	128,385
C₄⋊C₈.₁₈C₂² = C₈⋊₈D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.18C2^2	128,397
C₄⋊C₈.₁₉C₂² = C₈⋊₇D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.19C2^2	128,399
C₄⋊C₈.₂₀C₂² = C₈.₂₈D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.20C2^2	128,401
C₄⋊C₈.₂₁C₂² = C₈⋊₈Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.21C2^2	128,404
C₄⋊C₈.₂₂C₂² = C₈⋊₇Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.22C2^2	128,406
C₄⋊C₈.₂₃C₂² = Q₈.₁Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.23C2^2	128,408
C₄⋊C₈.₂₄C₂² = Q₈.₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.24C2^2	128,410
C₄⋊C₈.₂₅C₂² = Q₈.₃SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.25C2^2	128,412
C₄⋊C₈.₂₆C₂² = Q₈.₂D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.26C2^2	128,414
C₄⋊C₈.₂₇C₂² = Q₈.₂Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.27C2^2	128,416
C₄⋊C₈.₂₈C₂² = C₈⋊D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.28C2^2	128,417
C₄⋊C₈.₂₉C₂² = C₈⋊₂D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.29C2^2	128,419
C₄⋊C₈.₃₀C₂² = C₈.D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.30C2^2	128,421
C₄⋊C₈.₃₁C₂² = C₈⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.31C2^2	128,424
C₄⋊C₈.₃₂C₂² = C₈⋊₂Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.32C2^2	128,426
C₄⋊C₈.₃₃C₂² = C₈.₃Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.33C2^2	128,428
C₄⋊C₈.₃₄C₂² = C₄².₂₄₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.34C2^2	128,430
C₄⋊C₈.₃₅C₂² = C₄².₂₅₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.35C2^2	128,432
C₄⋊C₈.₃₆C₂² = C₄².₂₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.36C2^2	128,434
C₄⋊C₈.₃₇C₂² = C₄².₂₅₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.37C2^2	128,436
C₄⋊C₈.₃₈C₂² = C₄².₂₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.38C2^2	128,1769
C₄⋊C₈.₃₉C₂² = C₄².₄₄₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.39C2^2	128,1771
C₄⋊C₈.₄₀C₂² = C₄².₁₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.40C2^2	128,1776
C₄⋊C₈.₄₁C₂² = C₄².₁₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.41C2^2	128,1778
C₄⋊C₈.₄₂C₂² = C₄².₂₂₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.42C2^2	128,1810
C₄⋊C₈.₄₃C₂² = C₄².₄₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.43C2^2	128,1811
C₄⋊C₈.₄₄C₂² = C₄².₄₄₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.44C2^2	128,1812
C₄⋊C₈.₄₅C₂² = C₄².₂₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.45C2^2	128,1814
C₄⋊C₈.₄₆C₂² = C₄².₂₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.46C2^2	128,1815
C₄⋊C₈.₄₇C₂² = C₄².₂₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.47C2^2	128,1816
C₄⋊C₈.₄₈C₂² = C₄².₂₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.48C2^2	128,1843
C₄⋊C₈.₄₉C₂² = C₄².₂₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.49C2^2	128,1844
C₄⋊C₈.₅₀C₂² = C₄².₂₃₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.50C2^2	128,1845
C₄⋊C₈.₅₁C₂² = C₄².₂₃₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.51C2^2	128,1847
C₄⋊C₈.₅₂C₂² = C₄².₂₃₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.52C2^2	128,1848
C₄⋊C₈.₅₃C₂² = C₄².₂₃₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.53C2^2	128,1849
C₄⋊C₈.₅₄C₂² = C₄².₃₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.54C2^2	128,1851
C₄⋊C₈.₅₅C₂² = C₄².₃₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.55C2^2	128,1852
C₄⋊C₈.₅₆C₂² = C₄².₃₅₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.56C2^2	128,1853
C₄⋊C₈.₅₇C₂² = C₄².₃₅₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.57C2^2	128,1856
C₄⋊C₈.₅₈C₂² = C₄².₃₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.58C2^2	128,1857
C₄⋊C₈.₅₉C₂² = C₄².₃₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.59C2^2	128,1858
C₄⋊C₈.₆₀C₂² = C₄².₃₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.60C2^2	128,1859
C₄⋊C₈.₆₁C₂² = C₄².₂₇₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.61C2^2	128,1946
C₄⋊C₈.₆₂C₂² = C₄².₂₇₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.62C2^2	128,1948
C₄⋊C₈.₆₃C₂² = C₄².₂₇₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.63C2^2	128,1950
C₄⋊C₈.₆₄C₂² = C₄².₂₇₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.64C2^2	128,1951
C₄⋊C₈.₆₅C₂² = C₄².₄₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.65C2^2	128,1953
C₄⋊C₈.₆₆C₂² = C₄².₄₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.66C2^2	128,1955
C₄⋊C₈.₆₇C₂² = C₄².₄₁₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.67C2^2	128,1957
C₄⋊C₈.₆₈C₂² = C₄².₂₈₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.68C2^2	128,1966
C₄⋊C₈.₆₉C₂² = C₄².₂₈₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.69C2^2	128,1967
C₄⋊C₈.₇₀C₂² = C₄².₂₈₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.70C2^2	128,1968
C₄⋊C₈.₇₁C₂² = C₄².₂₈₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.71C2^2	128,1969
C₄⋊C₈.₇₂C₂² = C₄².₂₉₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.72C2^2	128,1970
C₄⋊C₈.₇₃C₂² = C₄².₂₉₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.73C2^2	128,1971
C₄⋊C₈.₇₄C₂² = C₄².₂₉₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.74C2^2	128,1972
C₄⋊C₈.₇₅C₂² = C₄².₄₂₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.75C2^2	128,1973
C₄⋊C₈.₇₆C₂² = C₄².₄₂₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.76C2^2	128,1974
C₄⋊C₈.₇₇C₂² = C₄².₄₂₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.77C2^2	128,1975
C₄⋊C₈.₇₈C₂² = C₄².₄₂₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.78C2^2	128,1976
C₄⋊C₈.₇₉C₂² = C₄².₂₉₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.79C2^2	128,1983
C₄⋊C₈.₈₀C₂² = C₄².₃₀₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.80C2^2	128,1984
C₄⋊C₈.₈₁C₂² = C₄².₃₀₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.81C2^2	128,1985
C₄⋊C₈.₈₂C₂² = C₄².₃₀₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.82C2^2	128,1986
C₄⋊C₈.₈₃C₂² = C₄².₃₀₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.83C2^2	128,1987
C₄⋊C₈.₈₄C₂² = C₄².₃₀₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.84C2^2	128,1988
C₄⋊C₈.₈₅C₂² = C₄.2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.85C2^2	128,1989
C₄⋊C₈.₈₆C₂² = C₄².₂₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.86C2^2	128,1990
C₄⋊C₈.₈₇C₂² = C₄².₂₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.87C2^2	128,1991
C₄⋊C₈.₈₈C₂² = C₄².₂₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.88C2^2	128,1992
C₄⋊C₈.₈₉C₂² = C₄².₂₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.89C2^2	128,1993
C₄⋊C₈.₉₀C₂² = C₄².₂₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.90C2^2	128,1994
C₄⋊C₈.₉₁C₂² = C₄².₃₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.91C2^2	128,1995
C₄⋊C₈.₉₂C₂² = SD₁₆⋊₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.92C2^2	128,2001
C₄⋊C₈.₉₃C₂² = Q₁₆⋊₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.93C2^2	128,2002
C₄⋊C₈.₉₄C₂² = Q₁₆⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.94C2^2	128,2003
C₄⋊C₈.₉₅C₂² = SD₁₆⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.95C2^2	128,2008
C₄⋊C₈.₉₆C₂² = Q₁₆⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.96C2^2	128,2009
C₄⋊C₈.₉₇C₂² = Q₁₆⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.97C2^2	128,2010
C₄⋊C₈.₉₈C₂² = C₄².₄₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.98C2^2	128,2039
C₄⋊C₈.₉₉C₂² = C₄².₄₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.99C2^2	128,2040
C₄⋊C₈.₁₀₀C₂² = C₄².₄₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.100C2^2	128,2041
C₄⋊C₈.₁₀₁C₂² = C₄².₄₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.101C2^2	128,2044
C₄⋊C₈.₁₀₂C₂² = C₄².₄₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.102C2^2	128,2045
C₄⋊C₈.₁₀₃C₂² = C₄².₅₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.103C2^2	128,2047
C₄⋊C₈.₁₀₄C₂² = C₄².₅₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.104C2^2	128,2048
C₄⋊C₈.₁₀₅C₂² = C₄².₅₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.105C2^2	128,2049
C₄⋊C₈.₁₀₆C₂² = C₄².₅₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.106C2^2	128,2052
C₄⋊C₈.₁₀₇C₂² = C₄².₅₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.107C2^2	128,2053
C₄⋊C₈.₁₀₈C₂² = C₄².₄₇₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.108C2^2	128,2058
C₄⋊C₈.₁₀₉C₂² = C₄².₄₇₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.109C2^2	128,2059
C₄⋊C₈.₁₁₀C₂² = C₄².₄₇₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.110C2^2	128,2060
C₄⋊C₈.₁₁₁C₂² = C₄².₄₇₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.111C2^2	128,2061
C₄⋊C₈.₁₁₂C₂² = C₄².₄₇₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.112C2^2	128,2062
C₄⋊C₈.₁₁₃C₂² = C₄².₄₈₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.113C2^2	128,2063
C₄⋊C₈.₁₁₄C₂² = C₄².₄₈₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.114C2^2	128,2064
C₄⋊C₈.₁₁₅C₂² = C₄².₄₈₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.115C2^2	128,2065
C₄⋊C₈.₁₁₆C₂² = C₄².₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.116C2^2	128,2075
C₄⋊C₈.₁₁₇C₂² = C₄².₅₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.117C2^2	128,2076
C₄⋊C₈.₁₁₈C₂² = C₄².₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.118C2^2	128,2077
C₄⋊C₈.₁₁₉C₂² = C₄².₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.119C2^2	128,2078
C₄⋊C₈.₁₂₀C₂² = C₄².₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.120C2^2	128,2079
C₄⋊C₈.₁₂₁C₂² = C₄².₆₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.121C2^2	128,2080
C₄⋊C₈.₁₂₂C₂² = C₄².₆₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.122C2^2	128,2081
C₄⋊C₈.₁₂₃C₂² = C₄².₆₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.123C2^2	128,2082
C₄⋊C₈.₁₂₄C₂² = C₄².₄₉₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.124C2^2	128,2083
C₄⋊C₈.₁₂₅C₂² = C₄².₄₉₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.125C2^2	128,2084
C₄⋊C₈.₁₂₆C₂² = C₄².₄₉₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.126C2^2	128,2085
C₄⋊C₈.₁₂₇C₂² = C₄².₄₉₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.127C2^2	128,2086
C₄⋊C₈.₁₂₈C₂² = C₄².₄₉₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.128C2^2	128,2087
C₄⋊C₈.₁₂₉C₂² = C₄².₄₉₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.129C2^2	128,2088
C₄⋊C₈.₁₃₀C₂² = C₄².₄₉₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.130C2^2	128,2089
C₄⋊C₈.₁₃₁C₂² = C₄².₅₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.131C2^2	128,2098
C₄⋊C₈.₁₃₂C₂² = C₄².₅₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.132C2^2	128,2099
C₄⋊C₈.₁₃₃C₂² = C₄².₅₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.133C2^2	128,2100
C₄⋊C₈.₁₃₄C₂² = C₄².₅₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.134C2^2	128,2101
C₄⋊C₈.₁₃₅C₂² = C₄².₅₁₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.135C2^2	128,2102
C₄⋊C₈.₁₃₆C₂² = C₄².₅₁₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.136C2^2	128,2103
C₄⋊C₈.₁₃₇C₂² = C₄².₅₁₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.137C2^2	128,2104
C₄⋊C₈.₁₃₈C₂² = C₄².₅₁₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.138C2^2	128,2105
C₄⋊C₈.₁₃₉C₂² = C₄².₅₁₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.139C2^2	128,2106
C₄⋊C₈.₁₄₀C₂² = C₄².₅₁₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.140C2^2	128,2107
C₄⋊C₈.₁₄₁C₂² = C₄².₅₁₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.141C2^2	128,2108
C₄⋊C₈.₁₄₂C₂² = C₄².₅₁₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.142C2^2	128,2109
C₄⋊C₈.₁₄₃C₂² = D₈⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.143C2^2	128,2116
C₄⋊C₈.₁₄₄C₂² = SD₁₆⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.144C2^2	128,2117
C₄⋊C₈.₁₄₅C₂² = SD₁₆⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.145C2^2	128,2118
C₄⋊C₈.₁₄₆C₂² = Q₁₆⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.146C2^2	128,2119
C₄⋊C₈.₁₄₇C₂² = SD₁₆⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.147C2^2	128,2120
C₄⋊C₈.₁₄₈C₂² = D₈⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.148C2^2	128,2121
C₄⋊C₈.₁₄₉C₂² = Q₁₆⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.149C2^2	128,2122
C₄⋊C₈.₁₅₀C₂² = C₄².₇₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.150C2^2	128,2129
C₄⋊C₈.₁₅₁C₂² = C₄².₇₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.151C2^2	128,2130
C₄⋊C₈.₁₅₂C₂² = C₄².₇₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.152C2^2	128,2131
C₄⋊C₈.₁₅₃C₂² = C₄².₇₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.153C2^2	128,2132
C₄⋊C₈.₁₅₄C₂² = C₄².₅₃₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.154C2^2	128,2133
C₄⋊C₈.₁₅₅C₂² = C₄².₅₃₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.155C2^2	128,2134
C₄⋊C₈.₁₅₆C₂² = C₄².₅₃₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.156C2^2	128,2135
C₄⋊C₈.₁₅₇C₂² = C₄².₁₈₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.157C2^2	128,352
C₄⋊C₈.₁₅₈C₂² = Q₈⋊D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.158C2^2	128,353
C₄⋊C₈.₁₅₉C₂² = Q₈⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.159C2^2	128,355
C₄⋊C₈.₁₆₀C₂² = Q₈⋊₆SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.160C2^2	128,358
C₄⋊C₈.₁₆₁C₂² = Q₈⋊₃D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.161C2^2	128,359
C₄⋊C₈.₁₆₂C₂² = D₄⋊Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.162C2^2	128,364
C₄⋊C₈.₁₆₃C₂² = C₄².₁₉₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.163C2^2	128,366
C₄⋊C₈.₁₆₄C₂² = D₄.SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.164C2^2	128,367
C₄⋊C₈.₁₆₅C₂² = C₄².₁₉₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.165C2^2	128,370
C₄⋊C₈.₁₆₆C₂² = Q₈⋊₃SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.166C2^2	128,374
C₄⋊C₈.₁₆₇C₂² = D₄.₅SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.167C2^2	128,375
C₄⋊C₈.₁₆₈C₂² = C₄².₂₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.168C2^2	128,378
C₄⋊C₈.₁₆₉C₂² = D₄.₇D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.169C2^2	128,379
C₄⋊C₈.₁₇₀C₂² = C₄².₂₁₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.170C2^2	128,382
C₄⋊C₈.₁₇₁C₂² = Q₈⋊₄SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.171C2^2	128,383
C₄⋊C₈.₁₇₂C₂² = D₄⋊₄SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.172C2^2	128,386
C₄⋊C₈.₁₇₃C₂² = C₈⋊₁₄SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.173C2^2	128,398
C₄⋊C₈.₁₇₄C₂² = C₈⋊₁₃SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.174C2^2	128,400
C₄⋊C₈.₁₇₅C₂² = Q₈⋊₁Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.175C2^2	128,402
C₄⋊C₈.₁₇₆C₂² = C₈⋊₁₁SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.176C2^2	128,403
C₄⋊C₈.₁₇₇C₂² = C₈⋊₁₀SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.177C2^2	128,405
C₄⋊C₈.₁₇₈C₂² = D₄.₁Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.178C2^2	128,407
C₄⋊C₈.₁₇₉C₂² = D₄.₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.179C2^2	128,409
C₄⋊C₈.₁₈₀C₂² = D₄.₃SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.180C2^2	128,411
C₄⋊C₈.₁₈₁C₂² = D₄.₂D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.181C2^2	128,413
C₄⋊C₈.₁₈₂C₂² = D₄.Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.182C2^2	128,415
C₄⋊C₈.₁₈₃C₂² = C₈⋊SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.183C2^2	128,418
C₄⋊C₈.₁₈₄C₂² = C₈⋊₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.184C2^2	128,420
C₄⋊C₈.₁₈₅C₂² = C₈.SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.185C2^2	128,422
C₄⋊C₈.₁₈₆C₂² = C₈⋊₃SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.186C2^2	128,423
C₄⋊C₈.₁₈₇C₂² = C₈⋊₄SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.187C2^2	128,425
C₄⋊C₈.₁₈₈C₂² = C₈.₈SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.188C2^2	128,427
C₄⋊C₈.₁₈₉C₂² = C₄².₂₄₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.189C2^2	128,429
C₄⋊C₈.₁₉₀C₂² = C₄².₂₅₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.190C2^2	128,431
C₄⋊C₈.₁₉₁C₂² = C₄².₂₅₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.191C2^2	128,433
C₄⋊C₈.₁₉₂C₂² = C₄².₂₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.192C2^2	128,435
C₄⋊C₈.₁₉₃C₂² = Q₈⋊M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.193C2^2	128,219
C₄⋊C₈.₁₉₄C₂² = C₄².₃₇₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.194C2^2	128,220
C₄⋊C₈.₁₉₅C₂² = D₄⋊₄M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.195C2^2	128,221
C₄⋊C₈.₁₉₆C₂² = Q₈⋊₅M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.196C2^2	128,223
C₄⋊C₈.₁₉₇C₂² = C₄².₃₁₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.197C2^2	128,224
C₄⋊C₈.₁₉₈C₂² = C₄².₃₁₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.198C2^2	128,225
C₄⋊C₈.₁₉₉C₂² = C₄².₃₀₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.199C2^2	128,226
C₄⋊C₈.₂₀₀C₂² = C₄².₅₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.200C2^2	128,227
C₄⋊C₈.₂₀₁C₂² = C₄².₅₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.201C2^2	128,228
C₄⋊C₈.₂₀₂C₂² = C₄².₅₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.202C2^2	128,229
C₄⋊C₈.₂₀₃C₂² = C₄².₄₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.203C2^2	128,278
C₄⋊C₈.₂₀₄C₂² = C₄².₄₁₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.204C2^2	128,280
C₄⋊C₈.₂₀₅C₂² = C₄².₄₁₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.205C2^2	128,281
C₄⋊C₈.₂₀₆C₂² = C₄².₈₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.206C2^2	128,283
C₄⋊C₈.₂₀₇C₂² = C₄².₈₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.207C2^2	128,284
C₄⋊C₈.₂₀₈C₂² = C₄².₈₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.208C2^2	128,288
C₄⋊C₈.₂₀₉C₂² = C₄².₈₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.209C2^2	128,289
C₄⋊C₈.₂₁₀C₂² = C₄².₈₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.210C2^2	128,290
C₄⋊C₈.₂₁₁C₂² = C₄².₈₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.211C2^2	128,291
C₄⋊C₈.₂₁₂C₂² = C₄².₈₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.212C2^2	128,292
C₄⋊C₈.₂₁₃C₂² = C₄².₈₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.213C2^2	128,293
C₄⋊C₈.₂₁₄C₂² = C₈⋊₈M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.214C2^2	128,298
C₄⋊C₈.₂₁₅C₂² = C₈⋊₇M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.215C2^2	128,299
C₄⋊C₈.₂₁₆C₂² = C₄².₄₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.216C2^2	128,300
C₄⋊C₈.₂₁₇C₂² = C₈⋊₁M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.217C2^2	128,301
C₄⋊C₈.₂₁₈C₂² = C₄².₉₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.218C2^2	128,305
C₄⋊C₈.₂₁₉C₂² = C₄².₂₁Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.219C2^2	128,306
C₄⋊C₈.₂₂₀C₂² = C₈⋊₉D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.220C2^2	128,313
C₄⋊C₈.₂₂₁C₂² = C₈⋊₁₂SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.221C2^2	128,314
C₄⋊C₈.₂₂₂C₂² = C₈⋊₁₅SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.222C2^2	128,315
C₄⋊C₈.₂₂₃C₂² = C₈⋊₉Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.223C2^2	128,316
C₄⋊C₈.₂₂₄C₂² = C₈⋊₆D₈	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.224C2^2	128,321
C₄⋊C₈.₂₂₅C₂² = C₈⋊₉SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.225C2^2	128,322
C₄⋊C₈.₂₂₆C₂² = C₈⋊₆Q₁₆	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.226C2^2	128,323
C₄⋊C₈.₂₂₇C₂² = C₈⋊M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.227C2^2	128,324
C₄⋊C₈.₂₂₈C₂² = C₈.M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	128	C4:C8.228C2^2	128,325
C₄⋊C₈.₂₂₉C₂² = C₈⋊₃M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.229C2^2	128,326
C₄⋊C₈.₂₃₀C₂² = C₄².₂₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.230C2^2	128,1655
C₄⋊C₈.₂₃₁C₂² = C₄².₆₇₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.231C2^2	128,1657
C₄⋊C₈.₂₃₂C₂² = C₄².₂₆₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.232C2^2	128,1664
C₄⋊C₈.₂₃₃C₂² = C₄².₂₈₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.233C2^2	128,1693
C₄⋊C₈.₂₃₄C₂² = C₄².₂₉₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.234C2^2	128,1699
C₄⋊C₈.₂₃₅C₂² = D₄⋊₆M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.235C2^2	128,1702
C₄⋊C₈.₂₃₆C₂² = C₄².₃₀₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.236C2^2	128,1712
C₄⋊C₈.₂₃₇C₂² = C₄².₃₀₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.237C2^2	128,1715
C₄⋊C₈.₂₃₈C₂² = C₄².₆₉₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.238C2^2	128,1717
C₄⋊C₈.₂₃₉C₂² = C₄².₃₀₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.239C2^2	128,1719
C₄⋊C₈.₂₄₀C₂² = C₄².₆₉₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.240C2^2	128,1721
C₄⋊C₈.₂₄₁C₂² = C₄².₃₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.241C2^2	128,1725
C₄⋊C₈.₂₄₂C₂² = C₄².₃₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₄⋊C₈	64	C4:C8.242C2^2	128,1727
C₄⋊C₈.₂₄₃C₂² = C₂×Q₈⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.243C2^2	128,207
C₄⋊C₈.₂₄₄C₂² = C₄².₄₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.244C2^2	128,208
C₄⋊C₈.₂₄₅C₂² = C₄².₃₉₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.245C2^2	128,209
C₄⋊C₈.₂₄₆C₂² = C₄².₃₉₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.246C2^2	128,211
C₄⋊C₈.₂₄₇C₂² = C₄².₄₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.247C2^2	128,212
C₄⋊C₈.₂₄₈C₂² = C₄².₄₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.248C2^2	128,213
C₄⋊C₈.₂₄₉C₂² = C₄².₃₇₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.249C2^2	128,214
C₄⋊C₈.₂₅₀C₂² = C₄².₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.250C2^2	128,215
C₄⋊C₈.₂₅₁C₂² = C₄².₄₀₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.251C2^2	128,216
C₄⋊C₈.₂₅₂C₂² = C₄².₄₀₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.252C2^2	128,217
C₄⋊C₈.₂₅₃C₂² = C₂×C₄.₁₀D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.253C2^2	128,271
C₄⋊C₈.₂₅₄C₂² = C₄².₄₀₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.254C2^2	128,272
C₄⋊C₈.₂₅₅C₂² = C₂×C₄.₆Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.255C2^2	128,273
C₄⋊C₈.₂₅₆C₂² = C₄².₄₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.256C2^2	128,274
C₄⋊C₈.₂₅₇C₂² = C₄².₄₁₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.257C2^2	128,275
C₄⋊C₈.₂₅₈C₂² = C₄².₄₁₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.258C2^2	128,276
C₄⋊C₈.₂₅₉C₂² = C₄².₇₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.259C2^2	128,279
C₄⋊C₈.₂₆₀C₂² = C₄².₇₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.260C2^2	128,282
C₄⋊C₈.₂₆₁C₂² = C₄².₄₁₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.261C2^2	128,285
C₄⋊C₈.₂₆₂C₂² = C₄².₄₁₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.262C2^2	128,286
C₄⋊C₈.₂₆₃C₂² = C₂×C₈⋊₂C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.263C2^2	128,294
C₄⋊C₈.₂₆₄C₂² = C₂×C₈⋊₁C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.264C2^2	128,295
C₄⋊C₈.₂₆₅C₂² = C₄².₄₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.265C2^2	128,296
C₄⋊C₈.₂₆₆C₂² = M₄(2)⋊₁C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.266C2^2	128,297
C₄⋊C₈.₂₆₇C₂² = C₄².₉₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.267C2^2	128,302
C₄⋊C₈.₂₆₈C₂² = C₄².₉₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.268C2^2	128,303
C₄⋊C₈.₂₆₉C₂² = C₄².Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.269C2^2	128,304
C₄⋊C₈.₂₇₀C₂² = C₈×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.270C2^2	128,307
C₄⋊C₈.₂₇₁C₂² = C₈×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.271C2^2	128,308
C₄⋊C₈.₂₇₂C₂² = C₈×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.272C2^2	128,309
C₄⋊C₈.₂₇₃C₂² = SD₁₆⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.273C2^2	128,310
C₄⋊C₈.₂₇₄C₂² = Q₁₆⋊₅C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.274C2^2	128,311
C₄⋊C₈.₂₇₅C₂² = D₈⋊₅C₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.275C2^2	128,312
C₄⋊C₈.₂₇₆C₂² = D₄.M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.276C2^2	128,317
C₄⋊C₈.₂₇₇C₂² = D₄⋊₂M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.277C2^2	128,318
C₄⋊C₈.₂₇₈C₂² = Q₈.M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.278C2^2	128,319
C₄⋊C₈.₂₇₉C₂² = Q₈⋊₂M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.279C2^2	128,320
C₄⋊C₈.₂₈₀C₂² = C₂×C₄⋊₂Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.280C2^2	128,1765
C₄⋊C₈.₂₈₁C₂² = C₄².₄₄₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.281C2^2	128,1767
C₄⋊C₈.₂₈₂C₂² = C₂×C₄.Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.282C2^2	128,1806
C₄⋊C₈.₂₈₃C₂² = C₄².₄₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.283C2^2	128,1808
C₄⋊C₈.₂₈₄C₂² = C₄².₂₂₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.284C2^2	128,1836
C₄⋊C₈.₂₈₅C₂² = C₄².₄₅₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.285C2^2	128,1838
C₄⋊C₈.₂₈₆C₂² = C₄².₂₆₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.286C2^2	128,1941
C₄⋊C₈.₂₈₇C₂² = C₄².₂₇₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.287C2^2	128,1944
C₄⋊C₈.₂₈₈C₂² = C₄².₂₇₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.288C2^2	128,1958
C₄⋊C₈.₂₈₉C₂² = C₄².₂₈₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.289C2^2	128,1962
C₄⋊C₈.₂₉₀C₂² = C₄².₂₈₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.290C2^2	128,1965
C₄⋊C₈.₂₉₁C₂² = C₄².₂₉₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.291C2^2	128,1977
C₄⋊C₈.₂₉₂C₂² = C₄².₂₉₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.292C2^2	128,1979
C₄⋊C₈.₂₉₃C₂² = C₄².₂₉₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.293C2^2	128,1981
C₄⋊C₈.₂₉₄C₂² = SD₁₆⋊₁₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.294C2^2	128,2016
C₄⋊C₈.₂₉₅C₂² = D₄×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.295C2^2	128,2018
C₄⋊C₈.₂₉₆C₂² = D₄⋊₅Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.296C2^2	128,2031
C₄⋊C₈.₂₉₇C₂² = C₄².₄₆₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.297C2^2	128,2034
C₄⋊C₈.₂₉₈C₂² = C₄².₄₇₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.298C2^2	128,2037
C₄⋊C₈.₂₉₉C₂² = D₄⋊₅D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.299C2^2	128,2066
C₄⋊C₈.₃₀₀C₂² = D₄⋊₆Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.300C2^2	128,2070
C₄⋊C₈.₃₀₁C₂² = C₄².₄₈₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.301C2^2	128,2072
C₄⋊C₈.₃₀₂C₂² = Q₈⋊₄D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.302C2^2	128,2090
C₄⋊C₈.₃₀₃C₂² = Q₈⋊₅Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.303C2^2	128,2095
C₄⋊C₈.₃₀₄C₂² = Q₈×D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.304C2^2	128,2110
C₄⋊C₈.₃₀₅C₂² = Q₈×Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.305C2^2	128,2114
C₄⋊C₈.₃₀₆C₂² = Q₈⋊₅D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.306C2^2	128,2123
C₄⋊C₈.₃₀₇C₂² = Q₈⋊₆Q₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.307C2^2	128,2127
C₄⋊C₈.₃₀₈C₂² = C₂×Q₈.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.308C2^2	128,1807
C₄⋊C₈.₃₀₉C₂² = C₄².₃₈₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.309C2^2	128,1834
C₄⋊C₈.₃₁₀C₂² = C₄².₂₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.310C2^2	128,1840
C₄⋊C₈.₃₁₁C₂² = C₄².₂₆₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.311C2^2	128,1939
C₄⋊C₈.₃₁₂C₂² = C₄².₂₆₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.312C2^2	128,1942
C₄⋊C₈.₃₁₃C₂² = C₄².₂₈₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.313C2^2	128,1960
C₄⋊C₈.₃₁₄C₂² = C₄².₂₈₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.314C2^2	128,1963
C₄⋊C₈.₃₁₅C₂² = C₄².₂₈₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.315C2^2	128,1964
C₄⋊C₈.₃₁₆C₂² = C₄².₂₉₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.316C2^2	128,1982
C₄⋊C₈.₃₁₇C₂² = Q₁₆⋊₁₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.317C2^2	128,2017
C₄⋊C₈.₃₁₈C₂² = C₄².₄₆₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.318C2^2	128,2032
C₄⋊C₈.₃₁₉C₂² = C₄².₄₆₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.319C2^2	128,2033
C₄⋊C₈.₃₂₀C₂² = C₄².₄₈₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.320C2^2	128,2068
C₄⋊C₈.₃₂₁C₂² = C₄².₄₈₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.321C2^2	128,2069
C₄⋊C₈.₃₂₂C₂² = C₄².₄₈₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.322C2^2	128,2071
C₄⋊C₈.₃₂₃C₂² = C₄².₅₀₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.323C2^2	128,2092
C₄⋊C₈.₃₂₄C₂² = C₄².₅₀₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.324C2^2	128,2093
C₄⋊C₈.₃₂₅C₂² = C₄².₅₀₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.325C2^2	128,2096
C₄⋊C₈.₃₂₆C₂² = C₄².₅₀₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.326C2^2	128,2097
C₄⋊C₈.₃₂₇C₂² = D₈⋊₆Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.327C2^2	128,2112
C₄⋊C₈.₃₂₈C₂² = SD₁₆⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.328C2^2	128,2113
C₄⋊C₈.₃₂₉C₂² = Q₁₆⋊₆Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.329C2^2	128,2115
C₄⋊C₈.₃₃₀C₂² = C₄².₅₂₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.330C2^2	128,2125
C₄⋊C₈.₃₃₁C₂² = C₄².₅₂₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.331C2^2	128,2126
C₄⋊C₈.₃₃₂C₂² = C₄².₅₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.332C2^2	128,2128
C₄⋊C₈.₃₃₃C₂² = C₂×Q₈⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.333C2^2	128,1805
C₄⋊C₈.₃₃₄C₂² = C₄².₂₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.334C2^2	128,1835
C₄⋊C₈.₃₃₅C₂² = C₄².₄₅₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.335C2^2	128,1839
C₄⋊C₈.₃₃₆C₂² = C₄².₂₆₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.336C2^2	128,1938
C₄⋊C₈.₃₃₇C₂² = C₄².₂₇₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.337C2^2	128,1959
C₄⋊C₈.₃₃₈C₂² = C₄².₂₈₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.338C2^2	128,1961
C₄⋊C₈.₃₃₉C₂² = C₄².₂₉₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.339C2^2	128,1978
C₄⋊C₈.₃₄₀C₂² = C₄².₂₉₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.340C2^2	128,1980
C₄⋊C₈.₃₄₁C₂² = D₈⋊₁₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.341C2^2	128,2015
C₄⋊C₈.₃₄₂C₂² = Q₁₆⋊₁₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.342C2^2	128,2019
C₄⋊C₈.₃₄₃C₂² = D₄⋊₈SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.343C2^2	128,2030
C₄⋊C₈.₃₄₄C₂² = C₄².₄₆₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.344C2^2	128,2035
C₄⋊C₈.₃₄₅C₂² = C₄².₄₆₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.345C2^2	128,2036
C₄⋊C₈.₃₄₆C₂² = D₄⋊₉SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.346C2^2	128,2067
C₄⋊C₈.₃₄₇C₂² = C₄².₄₉₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.347C2^2	128,2073
C₄⋊C₈.₃₄₈C₂² = C₄².₄₉₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.348C2^2	128,2074
C₄⋊C₈.₃₄₉C₂² = Q₈⋊₇SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.349C2^2	128,2091
C₄⋊C₈.₃₅₀C₂² = Q₈⋊₈SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.350C2^2	128,2094
C₄⋊C₈.₃₅₁C₂² = Q₈×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.351C2^2	128,2111
C₄⋊C₈.₃₅₂C₂² = Q₈⋊₉SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.352C2^2	128,2124
C₄⋊C₈.₃₅₃C₂² = C₄².₆₇₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.353C2^2	128,1638
C₄⋊C₈.₃₅₄C₂² = C₄².₂₆₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.354C2^2	128,1654
C₄⋊C₈.₃₅₅C₂² = C₄².₆₈₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.355C2^2	128,1663
C₄⋊C₈.₃₅₆C₂² = M₄(2)⋊₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.356C2^2	128,1667
C₄⋊C₈.₃₅₇C₂² = C₂×C₈⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	128	C4:C8.357C2^2	128,1691
C₄⋊C₈.₃₅₈C₂² = C₄².₂₈₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.358C2^2	128,1692
C₄⋊C₈.₃₅₉C₂² = M₄(2)⋊₉Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.359C2^2	128,1694
C₄⋊C₈.₃₆₀C₂² = Q₈×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.360C2^2	128,1695
C₄⋊C₈.₃₆₁C₂² = C₄².₂₉₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.361C2^2	128,1697
C₄⋊C₈.₃₆₂C₂² = C₄².₂₉₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.362C2^2	128,1698
C₄⋊C₈.₃₆₃C₂² = C₄².₂₉₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.363C2^2	128,1700
C₄⋊C₈.₃₆₄C₂² = C₄².₂₉₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.364C2^2	128,1701
C₄⋊C₈.₃₆₅C₂² = Q₈⋊₆M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.365C2^2	128,1703
C₄⋊C₈.₃₆₆C₂² = C₄².₆₉₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.366C2^2	128,1711
C₄⋊C₈.₃₆₇C₂² = C₄².₃₀₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.367C2^2	128,1713
C₄⋊C₈.₃₆₈C₂² = Q₈.₄M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.368C2^2	128,1716
C₄⋊C₈.₃₆₉C₂² = C₄².₃₀₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.369C2^2	128,1718
C₄⋊C₈.₃₇₀C₂² = D₄⋊₈M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.370C2^2	128,1722
C₄⋊C₈.₃₇₁C₂² = Q₈⋊₇M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.371C2^2	128,1723
C₄⋊C₈.₃₇₂C₂² = C₄².₃₀₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.372C2^2	128,1724
C₄⋊C₈.₃₇₃C₂² = C₄².₃₀₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₄⋊C₈	64	C4:C8.373C2^2	128,1726
C₄⋊C₈.₃₇₄C₂² = Q₈×C₂×C₈	φ: trivial image	128	C4:C8.374C2^2	128,1690
C₄⋊C₈.₃₇₅C₂² = C₈×C₄○D₄	φ: trivial image	64	C4:C8.375C2^2	128,1696
C₄⋊C₈.₃₇₆C₂² = C₄².₆₉₅C₂³	φ: trivial image	64	C4:C8.376C2^2	128,1714
C₄⋊C₈.₃₇₇C₂² = C₄².₆₉₇C₂³	φ: trivial image	64	C4:C8.377C2^2	128,1720

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4⋊C8 and Q=C22

Extensions 1→N→G→Q→1 with N=C₄⋊C₈ and Q=C₂²