Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=C₂²

Direct product G=N×Q with N=D₄⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×D₄⋊C₄		64		C2^2xD4:C4	128,1622

Semidirect products G=N:Q with N=D₄⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄⋊₁C₂² = C₂³⋊₃D₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:1C2^2	128,1918
D₄⋊C₄⋊₂C₂² = C₂⁴.₁₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:2C2^2	128,1922
D₄⋊C₄⋊₃C₂² = C₄².₂₆₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:3C2^2	128,1937
D₄⋊C₄⋊₄C₂² = C₄².₄₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:4C2^2	128,1956
D₄⋊C₄⋊₅C₂² = D₄×D₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:5C2^2	128,2011
D₄⋊C₄⋊₆C₂² = D₄⋊₄D₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:6C2^2	128,2026
D₄⋊C₄⋊₇C₂² = C₄².₄₇₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:7C2^2	128,2057
D₄⋊C₄⋊₈C₂² = C₂⁴.₁₇₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	16	D4:C4:8C2^2	128,1735
D₄⋊C₄⋊₉C₂² = C₂⁴.₁₀₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:9C2^2	128,1737
D₄⋊C₄⋊₁₀C₂² = C₂⁴.₁₀₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:10C2^2	128,1738
D₄⋊C₄⋊₁₁C₂² = C₂⁴.₁₀₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:11C2^2	128,1739
D₄⋊C₄⋊₁₂C₂² = C₄○D₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:12C2^2	128,1740
D₄⋊C₄⋊₁₃C₂² = D₄.(C₂×D₄)	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:13C2^2	128,1741
D₄⋊C₄⋊₁₄C₂² = (C₂×D₄)⋊₂₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:14C2^2	128,1744
D₄⋊C₄⋊₁₅C₂² = C₄².₂₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:15C2^2	128,1768
D₄⋊C₄⋊₁₆C₂² = C₄².₄₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:16C2^2	128,1770
D₄⋊C₄⋊₁₇C₂² = C₄².₁₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:17C2^2	128,1777
D₄⋊C₄⋊₁₈C₂² = C₂⁴.₁₈₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:18C2^2	128,1824
D₄⋊C₄⋊₁₉C₂² = C₂⁴.₁₁₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:19C2^2	128,1825
D₄⋊C₄⋊₂₀C₂² = C₂⁴.₁₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:20C2^2	128,1826
D₄⋊C₄⋊₂₁C₂² = C₄².₂₂₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:21C2^2	128,1841
D₄⋊C₄⋊₂₂C₂² = C₄².₂₃₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:22C2^2	128,1846
D₄⋊C₄⋊₂₃C₂² = C₄².₃₅₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:23C2^2	128,1854
D₄⋊C₄⋊₂₄C₂² = C₂⁴.₁₂₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:24C2^2	128,1924
D₄⋊C₄⋊₂₅C₂² = C₂⁴.₁₂₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:25C2^2	128,1925
D₄⋊C₄⋊₂₆C₂² = C₂⁴.₁₂₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:26C2^2	128,1926
D₄⋊C₄⋊₂₇C₂² = C₂⁴.₁₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:27C2^2	128,1928
D₄⋊C₄⋊₂₈C₂² = C₂⁴.₁₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:28C2^2	128,1929
D₄⋊C₄⋊₂₉C₂² = C₄.2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:29C2^2	128,1930
D₄⋊C₄⋊₃₀C₂² = C₄.₁₄2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:30C2^2	128,1931
D₄⋊C₄⋊₃₁C₂² = C₄².₂₇₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:31C2^2	128,1949
D₄⋊C₄⋊₃₂C₂² = C₄².₄₀₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:32C2^2	128,1952
D₄⋊C₄⋊₃₃C₂² = C₄².₄₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:33C2^2	128,1954
D₄⋊C₄⋊₃₄C₂² = D₈⋊₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:34C2^2	128,1996
D₄⋊C₄⋊₃₅C₂² = SD₁₆⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:35C2^2	128,1997
D₄⋊C₄⋊₃₆C₂² = D₈⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:36C2^2	128,1999
D₄⋊C₄⋊₃₇C₂² = SD₁₆⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:37C2^2	128,2000
D₄⋊C₄⋊₃₈C₂² = SD₁₆⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:38C2^2	128,2006
D₄⋊C₄⋊₃₉C₂² = SD₁₆⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:39C2^2	128,2007
D₄⋊C₄⋊₄₀C₂² = C₄².₄₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:40C2^2	128,2042
D₄⋊C₄⋊₄₁C₂² = C₄².₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:41C2^2	128,2050
D₄⋊C₄⋊₄₂C₂² = C₂³⋊₄SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:42C2^2	128,1919
D₄⋊C₄⋊₄₃C₂² = C₂⁴.₁₂₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:43C2^2	128,1920
D₄⋊C₄⋊₄₄C₂² = C₂⁴.₁₂₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:44C2^2	128,1923
D₄⋊C₄⋊₄₅C₂² = C₄².₂₆₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:45C2^2	128,1940
D₄⋊C₄⋊₄₆C₂² = D₄×SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:46C2^2	128,2013
D₄⋊C₄⋊₄₇C₂² = SD₁₆⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:47C2^2	128,2014
D₄⋊C₄⋊₄₈C₂² = D₄⋊₇SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:48C2^2	128,2027
D₄⋊C₄⋊₄₉C₂² = C₄².₄₇₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:49C2^2	128,2056
D₄⋊C₄⋊₅₀C₂² = M₄(2)⋊₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:50C2^2	128,1787
D₄⋊C₄⋊₅₁C₂² = M₄(2)⋊₁₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:51C2^2	128,1788
D₄⋊C₄⋊₅₂C₂² = (C₂×C₈)⋊₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:52C2^2	128,1790
D₄⋊C₄⋊₅₃C₂² = C₄².₂₄₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:53C2^2	128,1870
D₄⋊C₄⋊₅₄C₂² = C₄².₄₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:54C2^2	128,2038
D₄⋊C₄⋊₅₅C₂² = C₄².₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4:55C2^2	128,2051
D₄⋊C₄⋊₅₆C₂² = C₂×C₈⋊₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:56C2^2	128,1779
D₄⋊C₄⋊₅₇C₂² = C₂×C₈⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:57C2^2	128,1780
D₄⋊C₄⋊₅₈C₂² = C₂⁴.₁₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:58C2^2	128,1782
D₄⋊C₄⋊₅₉C₂² = C₂×C₄.₄D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:59C2^2	128,1860
D₄⋊C₄⋊₆₀C₂² = C₄².₄₆₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:60C2^2	128,2029
D₄⋊C₄⋊₆₁C₂² = C₂×C₂²⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:61C2^2	128,1728
D₄⋊C₄⋊₆₂C₂² = C₂×D₄.₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:62C2^2	128,1733
D₄⋊C₄⋊₆₃C₂² = C₂×C₄⋊D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:63C2^2	128,1761
D₄⋊C₄⋊₆₄C₂² = C₄².₁₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:64C2^2	128,1773
D₄⋊C₄⋊₆₅C₂² = C₂×C₂².D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:65C2^2	128,1817
D₄⋊C₄⋊₆₆C₂² = C₂×C₂³.₁₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:66C2^2	128,1819
D₄⋊C₄⋊₆₇C₂² = C₄².₂₂₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:67C2^2	128,1832
D₄⋊C₄⋊₆₈C₂² = D₈⋊₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:68C2^2	128,2005
D₄⋊C₄⋊₆₉C₂² = C₂×C₂²⋊SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:69C2^2	128,1729
D₄⋊C₄⋊₇₀C₂² = C₂×D₄⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:70C2^2	128,1732
D₄⋊C₄⋊₇₁C₂² = C₂⁴.₁₀₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:71C2^2	128,1734
D₄⋊C₄⋊₇₂C₂² = (C₂×Q₈)⋊₁₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:72C2^2	128,1742
D₄⋊C₄⋊₇₃C₂² = C₂×D₄.₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:73C2^2	128,1763
D₄⋊C₄⋊₇₄C₂² = C₂×C₄⋊SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:74C2^2	128,1764
D₄⋊C₄⋊₇₅C₂² = C₄².₁₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:75C2^2	128,1774
D₄⋊C₄⋊₇₆C₂² = C₄².₁₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:76C2^2	128,1775
D₄⋊C₄⋊₇₇C₂² = C₂×C₂³.₄₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:77C2^2	128,1821
D₄⋊C₄⋊₇₈C₂² = C₂⁴.₁₁₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:78C2^2	128,1823
D₄⋊C₄⋊₇₉C₂² = C₄².₂₂₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:79C2^2	128,1837
D₄⋊C₄⋊₈₀C₂² = C₄².₃₅₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:80C2^2	128,1850
D₄⋊C₄⋊₈₁C₂² = D₈⋊₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:81C2^2	128,2004
D₄⋊C₄⋊₈₂C₂² = D₈⋊₁₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:82C2^2	128,2012
D₄⋊C₄⋊₈₃C₂² = C₂×C₂³.₃₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:83C2^2	128,1625
D₄⋊C₄⋊₈₄C₂² = C₂×C₂³.₃₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:84C2^2	128,1627
D₄⋊C₄⋊₈₅C₂² = C₂⁴.₉₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:85C2^2	128,1628
D₄⋊C₄⋊₈₆C₂² = 2₊¹⁺⁴⋊₅C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:86C2^2	128,1629
D₄⋊C₄⋊₈₇C₂² = C₂×D₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:87C2^2	128,1674
D₄⋊C₄⋊₈₈C₂² = C₄×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:88C2^2	128,1676
D₄⋊C₄⋊₈₉C₂² = C₄².₂₇₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:89C2^2	128,1680
D₄⋊C₄⋊₉₀C₂² = C₂×C₈⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:90C2^2	128,1783
D₄⋊C₄⋊₉₁C₂² = C₂×C₈⋊₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:91C2^2	128,1784
D₄⋊C₄⋊₉₂C₂² = C₂⁴.₁₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:92C2^2	128,1786
D₄⋊C₄⋊₉₃C₂² = M₄(2)⋊₁₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:93C2^2	128,1794
D₄⋊C₄⋊₉₄C₂² = C₂×C₄².₂₉C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4:94C2^2	128,1865
D₄⋊C₄⋊₉₅C₂² = C₄².₃₆₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:95C2^2	128,1868
D₄⋊C₄⋊₉₆C₂² = C₄².₄₇₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4:96C2^2	128,2054
D₄⋊C₄⋊₉₇C₂² = C₂×C₂³.₂₄D₄	φ: trivial image	64	D4:C4:97C2^2	128,1624
D₄⋊C₄⋊₉₈C₂² = C₂×C₄×D₈	φ: trivial image	64	D4:C4:98C2^2	128,1668
D₄⋊C₄⋊₉₉C₂² = C₄².₂₇₅C₂³	φ: trivial image	32	D4:C4:99C2^2	128,1678

Non-split extensions G=N.Q with N=D₄⋊C₄ and Q=C₂²

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄.₁C₂² = C₄².₂₆₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.1C2^2	128,1942
D₄⋊C₄.₂C₂² = C₄².₄₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.2C2^2	128,1955
D₄⋊C₄.₃C₂² = C₄².₂₇₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.3C2^2	128,1958
D₄⋊C₄.₄C₂² = C₄².₂₈₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.4C2^2	128,1964
D₄⋊C₄.₅C₂² = C₄².₂₉₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.5C2^2	128,1977
D₄⋊C₄.₆C₂² = C₄².₂₉₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.6C2^2	128,1979
D₄⋊C₄.₇C₂² = C₄².₂₉₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.7C2^2	128,1980
D₄⋊C₄.₈C₂² = C₄².₂₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.8C2^2	128,1990
D₄⋊C₄.₉C₂² = Q₁₆⋊₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.9C2^2	128,2002
D₄⋊C₄.₁₀C₂² = SD₁₆⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.10C2^2	128,2016
D₄⋊C₄.₁₁C₂² = Q₁₆⋊₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.11C2^2	128,2017
D₄⋊C₄.₁₂C₂² = C₄².₄₆₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.12C2^2	128,2032
D₄⋊C₄.₁₃C₂² = C₄².₄₆₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.13C2^2	128,2036
D₄⋊C₄.₁₄C₂² = C₄².₄₇₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.14C2^2	128,2059
D₄⋊C₄.₁₅C₂² = C₄².₄₈₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.15C2^2	128,2065
D₄⋊C₄.₁₆C₂² = C₄².₄₈₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.16C2^2	128,2072
D₄⋊C₄.₁₇C₂² = Q₈⋊₄D₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.17C2^2	128,2090
D₄⋊C₄.₁₈C₂² = C₄².₅₀₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.18C2^2	128,2093
D₄⋊C₄.₁₉C₂² = (C₂×Q₈)⋊₁₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.19C2^2	128,1745
D₄⋊C₄.₂₀C₂² = C₄².₂₁₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.20C2^2	128,1769
D₄⋊C₄.₂₁C₂² = C₄².₄₄₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.21C2^2	128,1772
D₄⋊C₄.₂₂C₂² = C₄².₁₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.22C2^2	128,1778
D₄⋊C₄.₂₃C₂² = C₄².₂₁₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.23C2^2	128,1809
D₄⋊C₄.₂₄C₂² = C₄².₄₄₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.24C2^2	128,1811
D₄⋊C₄.₂₅C₂² = C₄².₄₄₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.25C2^2	128,1812
D₄⋊C₄.₂₆C₂² = C₄².₂₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.26C2^2	128,1813
D₄⋊C₄.₂₇C₂² = C₄².₂₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.27C2^2	128,1815
D₄⋊C₄.₂₈C₂² = C₄².₂₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.28C2^2	128,1816
D₄⋊C₄.₂₉C₂² = C₄².₂₂₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.29C2^2	128,1842
D₄⋊C₄.₃₀C₂² = C₄².₂₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.30C2^2	128,1843
D₄⋊C₄.₃₁C₂² = C₄².₂₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.31C2^2	128,1844
D₄⋊C₄.₃₂C₂² = C₄².₂₃₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.32C2^2	128,1847
D₄⋊C₄.₃₃C₂² = C₄².₂₃₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.33C2^2	128,1848
D₄⋊C₄.₃₄C₂² = C₄².₂₃₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.34C2^2	128,1849
D₄⋊C₄.₃₅C₂² = C₄².₃₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.35C2^2	128,1851
D₄⋊C₄.₃₆C₂² = C₄².₃₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.36C2^2	128,1852
D₄⋊C₄.₃₇C₂² = C₄².₃₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.37C2^2	128,1855
D₄⋊C₄.₃₈C₂² = C₄².₃₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.38C2^2	128,1857
D₄⋊C₄.₃₉C₂² = C₄².₃₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.39C2^2	128,1858
D₄⋊C₄.₄₀C₂² = C₄.₁₆2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.40C2^2	128,1933
D₄⋊C₄.₄₁C₂² = C₄.₁₈2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.41C2^2	128,1935
D₄⋊C₄.₄₂C₂² = C₄².₂₇₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.42C2^2	128,1945
D₄⋊C₄.₄₃C₂² = C₄².₂₇₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.43C2^2	128,1946
D₄⋊C₄.₄₄C₂² = C₄².₂₇₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.44C2^2	128,1947
D₄⋊C₄.₄₅C₂² = C₄².₂₇₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.45C2^2	128,1948
D₄⋊C₄.₄₆C₂² = C₄².₂₇₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.46C2^2	128,1951
D₄⋊C₄.₄₇C₂² = C₄².₄₁₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.47C2^2	128,1957
D₄⋊C₄.₄₈C₂² = C₄².₂₈₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.48C2^2	128,1966
D₄⋊C₄.₄₉C₂² = C₄².₂₈₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.49C2^2	128,1967
D₄⋊C₄.₅₀C₂² = C₄².₂₉₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.50C2^2	128,1970
D₄⋊C₄.₅₁C₂² = C₄².₂₉₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.51C2^2	128,1971
D₄⋊C₄.₅₂C₂² = C₄².₂₉₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.52C2^2	128,1972
D₄⋊C₄.₅₃C₂² = C₄².₄₂₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.53C2^2	128,1973
D₄⋊C₄.₅₄C₂² = C₄².₄₂₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.54C2^2	128,1975
D₄⋊C₄.₅₅C₂² = C₄².₄₂₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.55C2^2	128,1976
D₄⋊C₄.₅₆C₂² = C₄².₂₉₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.56C2^2	128,1983
D₄⋊C₄.₅₇C₂² = C₄².₃₀₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.57C2^2	128,1984
D₄⋊C₄.₅₈C₂² = C₄².₃₀₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.58C2^2	128,1985
D₄⋊C₄.₅₉C₂² = C₄².₃₀₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.59C2^2	128,1986
D₄⋊C₄.₆₀C₂² = C₄².₃₀₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.60C2^2	128,1988
D₄⋊C₄.₆₁C₂² = C₄.2_-¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.61C2^2	128,1989
D₄⋊C₄.₆₂C₂² = C₄².₂₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.62C2^2	128,1991
D₄⋊C₄.₆₃C₂² = C₄².₂₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.63C2^2	128,1994
D₄⋊C₄.₆₄C₂² = SD₁₆⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.64C2^2	128,1998
D₄⋊C₄.₆₅C₂² = SD₁₆⋊₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.65C2^2	128,2001
D₄⋊C₄.₆₆C₂² = Q₁₆⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.66C2^2	128,2003
D₄⋊C₄.₆₇C₂² = Q₁₆⋊₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.67C2^2	128,2009
D₄⋊C₄.₆₈C₂² = Q₁₆⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.68C2^2	128,2010
D₄⋊C₄.₆₉C₂² = C₄².₄₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.69C2^2	128,2040
D₄⋊C₄.₇₀C₂² = C₄².₄₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.70C2^2	128,2041
D₄⋊C₄.₇₁C₂² = C₄².₄₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.71C2^2	128,2045
D₄⋊C₄.₇₂C₂² = C₄².₄₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.72C2^2	128,2046
D₄⋊C₄.₇₃C₂² = C₄².₅₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.73C2^2	128,2048
D₄⋊C₄.₇₄C₂² = C₄².₅₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.74C2^2	128,2049
D₄⋊C₄.₇₅C₂² = C₄².₅₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.75C2^2	128,2053
D₄⋊C₄.₇₆C₂² = C₄².₄₇₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.76C2^2	128,2062
D₄⋊C₄.₇₇C₂² = C₄².₄₈₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.77C2^2	128,2063
D₄⋊C₄.₇₈C₂² = C₄².₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.78C2^2	128,2075
D₄⋊C₄.₇₉C₂² = C₄².₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.79C2^2	128,2077
D₄⋊C₄.₈₀C₂² = C₄².₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.80C2^2	128,2078
D₄⋊C₄.₈₁C₂² = C₄².₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.81C2^2	128,2079
D₄⋊C₄.₈₂C₂² = C₄².₆₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.82C2^2	128,2080
D₄⋊C₄.₈₃C₂² = C₄².₆₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.83C2^2	128,2082
D₄⋊C₄.₈₄C₂² = C₄².₄₉₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.84C2^2	128,2085
D₄⋊C₄.₈₅C₂² = C₄².₄₉₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.85C2^2	128,2086
D₄⋊C₄.₈₆C₂² = C₄².₄₉₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.86C2^2	128,2087
D₄⋊C₄.₈₇C₂² = C₄².₅₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.87C2^2	128,2098
D₄⋊C₄.₈₈C₂² = C₄².₅₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.88C2^2	128,2100
D₄⋊C₄.₈₉C₂² = C₄².₅₁₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.89C2^2	128,2105
D₄⋊C₄.₉₀C₂² = C₄².₅₁₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.90C2^2	128,2107
D₄⋊C₄.₉₁C₂² = C₄².₅₁₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.91C2^2	128,2108
D₄⋊C₄.₉₂C₂² = C₄².₅₁₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.92C2^2	128,2109
D₄⋊C₄.₉₃C₂² = D₈⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.93C2^2	128,2116
D₄⋊C₄.₉₄C₂² = SD₁₆⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.94C2^2	128,2117
D₄⋊C₄.₉₅C₂² = SD₁₆⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.95C2^2	128,2118
D₄⋊C₄.₉₆C₂² = SD₁₆⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.96C2^2	128,2120
D₄⋊C₄.₉₇C₂² = D₈⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.97C2^2	128,2121
D₄⋊C₄.₉₈C₂² = C₄².₇₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.98C2^2	128,2129
D₄⋊C₄.₉₉C₂² = C₄².₇₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.99C2^2	128,2131
D₄⋊C₄.₁₀₀C₂² = C₄².₇₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.100C2^2	128,2132
D₄⋊C₄.₁₀₁C₂² = C₄².₅₃₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.101C2^2	128,2133
D₄⋊C₄.₁₀₂C₂² = C₄².₅₃₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.102C2^2	128,2134
D₄⋊C₄.₁₀₃C₂² = C₄².₅₃₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.103C2^2	128,2135
D₄⋊C₄.₁₀₄C₂² = C₄.₁₅2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.104C2^2	128,1932
D₄⋊C₄.₁₀₅C₂² = C₄.₁₉2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.105C2^2	128,1936
D₄⋊C₄.₁₀₆C₂² = C₄².₂₆₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.106C2^2	128,1939
D₄⋊C₄.₁₀₇C₂² = C₄².₂₆₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.107C2^2	128,1943
D₄⋊C₄.₁₀₈C₂² = C₄².₂₇₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.108C2^2	128,1944
D₄⋊C₄.₁₀₉C₂² = C₄².₄₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.109C2^2	128,1953
D₄⋊C₄.₁₁₀C₂² = C₄².₂₇₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.110C2^2	128,1959
D₄⋊C₄.₁₁₁C₂² = C₄².₂₈₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.111C2^2	128,1960
D₄⋊C₄.₁₁₂C₂² = C₄².₂₈₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.112C2^2	128,1965
D₄⋊C₄.₁₁₃C₂² = C₄².₂₉₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.113C2^2	128,1978
D₄⋊C₄.₁₁₄C₂² = C₄².₂₉₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.114C2^2	128,1982
D₄⋊C₄.₁₁₅C₂² = C₄².₂₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.115C2^2	128,1992
D₄⋊C₄.₁₁₆C₂² = C₄².₃₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.116C2^2	128,1995
D₄⋊C₄.₁₁₇C₂² = Q₁₆⋊₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.117C2^2	128,2019
D₄⋊C₄.₁₁₈C₂² = C₄².₄₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.118C2^2	128,2028
D₄⋊C₄.₁₁₉C₂² = C₄².₄₆₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.119C2^2	128,2033
D₄⋊C₄.₁₂₀C₂² = C₄².₄₇₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.120C2^2	128,2037
D₄⋊C₄.₁₂₁C₂² = C₄².₄₇₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.121C2^2	128,2055
D₄⋊C₄.₁₂₂C₂² = C₄².₄₇₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.122C2^2	128,2058
D₄⋊C₄.₁₂₃C₂² = C₄².₄₈₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.123C2^2	128,2064
D₄⋊C₄.₁₂₄C₂² = D₄⋊₉SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.124C2^2	128,2067
D₄⋊C₄.₁₂₅C₂² = C₄².₄₈₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.125C2^2	128,2071
D₄⋊C₄.₁₂₆C₂² = C₄².₄₉₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.126C2^2	128,2073
D₄⋊C₄.₁₂₇C₂² = Q₈⋊₈SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.127C2^2	128,2094
D₄⋊C₄.₁₂₈C₂² = C₄².₅₀₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.128C2^2	128,2097
D₄⋊C₄.₁₂₉C₂² = (C₂×C₈)⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.129C2^2	128,1789
D₄⋊C₄.₁₃₀C₂² = (C₂×C₈)⋊₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.130C2^2	128,1792
D₄⋊C₄.₁₃₁C₂² = (C₂×C₈)⋊₁₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.131C2^2	128,1793
D₄⋊C₄.₁₃₂C₂² = C₄².₃₆₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.132C2^2	128,1869
D₄⋊C₄.₁₃₃C₂² = C₄².₂₄₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	32	D4:C4.133C2^2	128,1872
D₄⋊C₄.₁₃₄C₂² = C₄².₂₄₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.134C2^2	128,1873
D₄⋊C₄.₁₃₅C₂² = C₄².₂₄₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.135C2^2	128,1874
D₄⋊C₄.₁₃₆C₂² = C₄².₂₅₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.136C2^2	128,1912
D₄⋊C₄.₁₃₇C₂² = C₄².₂₅₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.137C2^2	128,1913
D₄⋊C₄.₁₃₈C₂² = C₄².₂₅₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.138C2^2	128,1914
D₄⋊C₄.₁₃₉C₂² = C₄².₂₆₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.139C2^2	128,1915
D₄⋊C₄.₁₄₀C₂² = C₄².₂₆₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.140C2^2	128,1916
D₄⋊C₄.₁₄₁C₂² = C₄².₅₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out D₄⋊C₄	64	D4:C4.141C2^2	128,2052
D₄⋊C₄.₁₄₂C₂² = M₄(2)⋊₁₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.142C2^2	128,1795
D₄⋊C₄.₁₄₃C₂² = C₂×C₄².₇₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.143C2^2	128,1862
D₄⋊C₄.₁₄₄C₂² = C₄².₃₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.144C2^2	128,1863
D₄⋊C₄.₁₄₅C₂² = C₄².₃₆₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.145C2^2	128,1899
D₄⋊C₄.₁₄₆C₂² = C₄².₃₀₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.146C2^2	128,1900
D₄⋊C₄.₁₄₇C₂² = C₄².₃₆₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.147C2^2	128,1901
D₄⋊C₄.₁₄₈C₂² = C₄².₃₉₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.148C2^2	128,1910
D₄⋊C₄.₁₄₉C₂² = C₄².₃₉₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.149C2^2	128,1911
D₄⋊C₄.₁₅₀C₂² = D₄⋊₈SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.150C2^2	128,2030
D₄⋊C₄.₁₅₁C₂² = C₄².₅₀₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.151C2^2	128,2092
D₄⋊C₄.₁₅₂C₂² = C₄².₅₀₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.152C2^2	128,2096
D₄⋊C₄.₁₅₃C₂² = Q₈.(C₂×D₄)	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.153C2^2	128,1743
D₄⋊C₄.₁₅₄C₂² = C₂×Q₈.D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.154C2^2	128,1766
D₄⋊C₄.₁₅₅C₂² = C₄².₄₄₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.155C2^2	128,1767
D₄⋊C₄.₁₅₆C₂² = C₄².₁₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.156C2^2	128,1776
D₄⋊C₄.₁₅₇C₂² = C₂×D₄⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.157C2^2	128,1802
D₄⋊C₄.₁₅₈C₂² = C₄².₄₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.158C2^2	128,1808
D₄⋊C₄.₁₅₉C₂² = (C₂×D₄).₃₀₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.159C2^2	128,1830
D₄⋊C₄.₁₆₀C₂² = C₄².₃₈₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.160C2^2	128,1834
D₄⋊C₄.₁₆₁C₂² = C₄².₄₅₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.161C2^2	128,1839
D₄⋊C₄.₁₆₂C₂² = C₄².₂₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.162C2^2	128,1840
D₄⋊C₄.₁₆₃C₂² = C₄².₃₅₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.163C2^2	128,1853
D₄⋊C₄.₁₆₄C₂² = C₄².₃₅₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.164C2^2	128,1856
D₄⋊C₄.₁₆₅C₂² = SD₁₆⋊₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.165C2^2	128,2008
D₄⋊C₄.₁₆₆C₂² = D₈⋊₁₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.166C2^2	128,2015
D₄⋊C₄.₁₆₇C₂² = C₄².₄₆₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.167C2^2	128,2034
D₄⋊C₄.₁₆₈C₂² = C₄².₅₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.168C2^2	128,2047
D₄⋊C₄.₁₆₉C₂² = D₄⋊₅D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.169C2^2	128,2066
D₄⋊C₄.₁₇₀C₂² = C₄².₄₈₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.170C2^2	128,2069
D₄⋊C₄.₁₇₁C₂² = C₄².₄₉₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.171C2^2	128,2089
D₄⋊C₄.₁₇₂C₂² = Q₈×D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.172C2^2	128,2110
D₄⋊C₄.₁₇₃C₂² = SD₁₆⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.173C2^2	128,2113
D₄⋊C₄.₁₇₄C₂² = Q₈⋊₅D₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.174C2^2	128,2123
D₄⋊C₄.₁₇₅C₂² = C₄².₅₂₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.175C2^2	128,2125
D₄⋊C₄.₁₇₆C₂² = C₄².₅₂₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.176C2^2	128,2126
D₄⋊C₄.₁₇₇C₂² = C₄².₇₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.177C2^2	128,2130
D₄⋊C₄.₁₇₈C₂² = C₂×D₄⋊₂Q₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.178C2^2	128,1803
D₄⋊C₄.₁₇₉C₂² = C₂×D₄.Q₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.179C2^2	128,1804
D₄⋊C₄.₁₈₀C₂² = (C₂×D₄).₃₀₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4.180C2^2	128,1828
D₄⋊C₄.₁₈₁C₂² = (C₂×D₄).₃₀₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.181C2^2	128,1831
D₄⋊C₄.₁₈₂C₂² = C₄².₂₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4.182C2^2	128,1833
D₄⋊C₄.₁₈₃C₂² = C₄².₂₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.183C2^2	128,1835
D₄⋊C₄.₁₈₄C₂² = C₄².₄₅₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.184C2^2	128,1838
D₄⋊C₄.₁₈₅C₂² = C₄².₄₆₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.185C2^2	128,2035
D₄⋊C₄.₁₈₆C₂² = C₄².₄₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.186C2^2	128,2039
D₄⋊C₄.₁₈₇C₂² = C₄².₄₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4.187C2^2	128,2043
D₄⋊C₄.₁₈₈C₂² = C₄².₄₉₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.188C2^2	128,2083
D₄⋊C₄.₁₈₉C₂² = Q₈×SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.189C2^2	128,2111
D₄⋊C₄.₁₉₀C₂² = D₈⋊₆Q₈	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.190C2^2	128,2112
D₄⋊C₄.₁₉₁C₂² = Q₈⋊₉SD₁₆	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.191C2^2	128,2124
D₄⋊C₄.₁₉₂C₂² = C₄².₅₃₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.192C2^2	128,2128
D₄⋊C₄.₁₉₃C₂² = 2_-¹⁺⁴⋊₄C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.193C2^2	128,1630
D₄⋊C₄.₁₉₄C₂² = C₂×SD₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.194C2^2	128,1672
D₄⋊C₄.₁₉₅C₂² = C₄².₃₈₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.195C2^2	128,1675
D₄⋊C₄.₁₉₆C₂² = C₄×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.196C2^2	128,1677
D₄⋊C₄.₁₉₇C₂² = C₄².₂₇₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	32	D4:C4.197C2^2	128,1681
D₄⋊C₄.₁₉₈C₂² = C₄².₂₈₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.198C2^2	128,1683
D₄⋊C₄.₁₉₉C₂² = C₄².₂₈₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.199C2^2	128,1684
D₄⋊C₄.₂₀₀C₂² = C₂×C₄².₂₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.200C2^2	128,1864
D₄⋊C₄.₂₀₁C₂² = C₄².₂₃₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.201C2^2	128,1867
D₄⋊C₄.₂₀₂C₂² = C₄².₂₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.202C2^2	128,1903
D₄⋊C₄.₂₀₃C₂² = C₄².₂₅₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.203C2^2	128,1904
D₄⋊C₄.₂₀₄C₂² = C₄².₃₈₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.204C2^2	128,1905
D₄⋊C₄.₂₀₅C₂² = C₄².₃₈₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.205C2^2	128,1906
D₄⋊C₄.₂₀₆C₂² = C₄².₃₈₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.206C2^2	128,1907
D₄⋊C₄.₂₀₇C₂² = C₄².₃₈₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.207C2^2	128,1908
D₄⋊C₄.₂₀₈C₂² = C₄².₄₇₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.208C2^2	128,2061
D₄⋊C₄.₂₀₉C₂² = C₄².₅₀₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.209C2^2	128,2099
D₄⋊C₄.₂₁₀C₂² = C₄².₅₁₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.210C2^2	128,2101
D₄⋊C₄.₂₁₁C₂² = C₄².₅₁₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.211C2^2	128,2102
D₄⋊C₄.₂₁₂C₂² = C₄².₅₁₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.212C2^2	128,2103
D₄⋊C₄.₂₁₃C₂² = C₄².₅₁₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out D₄⋊C₄	64	D4:C4.213C2^2	128,2104
D₄⋊C₄.₂₁₄C₂² = C₂×C₄×SD₁₆	φ: trivial image	64	D4:C4.214C2^2	128,1669
D₄⋊C₄.₂₁₅C₂² = C₄×C₄○D₈	φ: trivial image	64	D4:C4.215C2^2	128,1671
D₄⋊C₄.₂₁₆C₂² = C₄².₂₇₆C₂³	φ: trivial image	64	D4:C4.216C2^2	128,1679
D₄⋊C₄.₂₁₇C₂² = Q₈⋊₇SD₁₆	φ: trivial image	64	D4:C4.217C2^2	128,2091

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Extensions 1→N→G→Q→1 with N=D4⋊C4 and Q=C22

Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=C₂²