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

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

		d	ρ	Label	ID
C₂²×C₈⋊C₄		128		C2^2xC8:C4	128,1602

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄⋊₁C₂² = C₄².C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:1C2^2	128,387
C₈⋊C₄⋊₂C₂² = C₄².₂₂₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:2C2^2	128,1841
C₈⋊C₄⋊₃C₂² = C₄².₂₂₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:3C2^2	128,1842
C₈⋊C₄⋊₄C₂² = C₄².₂₃₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:4C2^2	128,1846
C₈⋊C₄⋊₅C₂² = C₄².₃₅₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:5C2^2	128,1850
C₈⋊C₄⋊₆C₂² = C₄².₃₅₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:6C2^2	128,1854
C₈⋊C₄⋊₇C₂² = C₄².₃₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:7C2^2	128,1855
C₈⋊C₄⋊₈C₂² = C₄².₂₇₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:8C2^2	128,1945
C₈⋊C₄⋊₉C₂² = C₄².₂₇₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:9C2^2	128,1947
C₈⋊C₄⋊₁₀C₂² = C₄².₂₇₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:10C2^2	128,1949
C₈⋊C₄⋊₁₁C₂² = C₄².₄₀₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:11C2^2	128,1952
C₈⋊C₄⋊₁₂C₂² = C₄².₄₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:12C2^2	128,1954
C₈⋊C₄⋊₁₃C₂² = C₄².₄₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:13C2^2	128,1956
C₈⋊C₄⋊₁₄C₂² = D₈⋊₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:14C2^2	128,1996
C₈⋊C₄⋊₁₅C₂² = SD₁₆⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:15C2^2	128,1997
C₈⋊C₄⋊₁₆C₂² = SD₁₆⋊₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:16C2^2	128,1998
C₈⋊C₄⋊₁₇C₂² = D₈⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:17C2^2	128,1999
C₈⋊C₄⋊₁₈C₂² = SD₁₆⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:18C2^2	128,2000
C₈⋊C₄⋊₁₉C₂² = D₈⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	16	8+	C8:C4:19C2^2	128,2020
C₈⋊C₄⋊₂₀C₂² = D₈.₁₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32	8-	C8:C4:20C2^2	128,2021
C₈⋊C₄⋊₂₁C₂² = C₄².₄₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:21C2^2	128,2038
C₈⋊C₄⋊₂₂C₂² = C₄².₄₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:22C2^2	128,2042
C₈⋊C₄⋊₂₃C₂² = C₄².₄₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:23C2^2	128,2043
C₈⋊C₄⋊₂₄C₂² = C₄².₄₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:24C2^2	128,2046
C₈⋊C₄⋊₂₅C₂² = C₄².₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:25C2^2	128,2050
C₈⋊C₄⋊₂₆C₂² = C₄².₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:26C2^2	128,2051
C₈⋊C₄⋊₂₇C₂² = C₄².₇₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:27C2^2	128,265
C₈⋊C₄⋊₂₈C₂² = C₄².₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:28C2^2	128,391
C₈⋊C₄⋊₂₉C₂² = C₂³⋊₃M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:29C2^2	128,1705
C₈⋊C₄⋊₃₀C₂² = D₄⋊₇M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:30C2^2	128,1706
C₈⋊C₄⋊₃₁C₂² = C₄².₂₉₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:31C2^2	128,1708
C₈⋊C₄⋊₃₂C₂² = C₄².₂₉₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:32C2^2	128,1709
C₈⋊C₄⋊₃₃C₂² = C₄².₂₉₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32		C8:C4:33C2^2	128,1710
C₈⋊C₄⋊₃₄C₂² = C₂×SD₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:34C2^2	128,1672
C₈⋊C₄⋊₃₅C₂² = C₂×D₈⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:35C2^2	128,1674
C₈⋊C₄⋊₃₆C₂² = C₄×C₈⋊C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:36C2^2	128,1676
C₈⋊C₄⋊₃₇C₂² = C₄².₂₇₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:37C2^2	128,1678
C₈⋊C₄⋊₃₈C₂² = C₄².₂₇₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:38C2^2	128,1680
C₈⋊C₄⋊₃₉C₂² = C₄².₂₇₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:39C2^2	128,1681
C₈⋊C₄⋊₄₀C₂² = C₂×C₈.₂₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:40C2^2	128,1686
C₈⋊C₄⋊₄₁C₂² = C₄².₂₈₃C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32	4	C8:C4:41C2^2	128,1687
C₈⋊C₄⋊₄₂C₂² = M₄(2).₅₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	16	4	C8:C4:42C2^2	128,1688
C₈⋊C₄⋊₄₃C₂² = M₄(2)○D₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32	4	C8:C4:43C2^2	128,1689
C₈⋊C₄⋊₄₄C₂² = C₂×C₈⋊₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:44C2^2	128,1880
C₈⋊C₄⋊₄₅C₂² = C₂×C₈.₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:45C2^2	128,1881
C₈⋊C₄⋊₄₆C₂² = M₄(2)⋊₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:46C2^2	128,1883
C₈⋊C₄⋊₄₇C₂² = M₄(2)⋊₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:47C2^2	128,1885
C₈⋊C₄⋊₄₈C₂² = M₄(2)⋊₁₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:48C2^2	128,1886
C₈⋊C₄⋊₄₉C₂² = M₄(2)⋊₁₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:49C2^2	128,1887
C₈⋊C₄⋊₅₀C₂² = C₂×C₄².C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:50C2^2	128,254
C₈⋊C₄⋊₅₁C₂² = C₄².₄₀₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:51C2^2	128,259
C₈⋊C₄⋊₅₂C₂² = C₂×C₄².₆C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:52C2^2	128,1650
C₈⋊C₄⋊₅₃C₂² = C₂×C₄².₇C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:53C2^2	128,1651
C₈⋊C₄⋊₅₄C₂² = C₄².₆₇₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:54C2^2	128,1652
C₈⋊C₄⋊₅₅C₂² = C₄².₂₅₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:55C2^2	128,1653
C₈⋊C₄⋊₅₆C₂² = C₄².₂₆₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:56C2^2	128,1656
C₈⋊C₄⋊₅₇C₂² = C₂×C₈⋊₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:57C2^2	128,1659
C₈⋊C₄⋊₅₈C₂² = C₄².₂₆₄C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:58C2^2	128,1661
C₈⋊C₄⋊₅₉C₂² = C₄².₂₆₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:59C2^2	128,1662
C₈⋊C₄⋊₆₀C₂² = M₄(2)⋊₂₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:60C2^2	128,1665
C₈⋊C₄⋊₆₁C₂² = D₄×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:61C2^2	128,1666
C₈⋊C₄⋊₆₂C₂² = C₂×C₄².₂₈C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:62C2^2	128,1864
C₈⋊C₄⋊₆₃C₂² = C₂×C₄².₂₉C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4:63C2^2	128,1865
C₈⋊C₄⋊₆₄C₂² = C₄².₃₆₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:64C2^2	128,1868
C₈⋊C₄⋊₆₅C₂² = C₄².₂₄₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:65C2^2	128,1870
C₈⋊C₄⋊₆₆C₂² = C₄².₂₄₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4:66C2^2	128,1872
C₈⋊C₄⋊₆₇C₂² = C₂×C₄×M₄(2)	φ: trivial image	64		C8:C4:67C2^2	128,1603
C₈⋊C₄⋊₆₈C₂² = C₂×C₈○₂M₄(2)	φ: trivial image	64		C8:C4:68C2^2	128,1604
C₈⋊C₄⋊₆₉C₂² = M₄(2)○₂M₄(2)	φ: trivial image	32		C8:C4:69C2^2	128,1605

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₈⋊C₄.₁C₂² = C₄².₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.1C2^2	128,392
C₈⋊C₄.₂C₂² = C₄².₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	128		C8:C4.2C2^2	128,395
C₈⋊C₄.₃C₂² = Q₃₂⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32	8-	C8:C4.3C2^2	128,912
C₈⋊C₄.₄C₂² = D₁₆⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	16	8+	C8:C4.4C2^2	128,913
C₈⋊C₄.₅C₂² = C₄².₂₂₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.5C2^2	128,1843
C₈⋊C₄.₆C₂² = C₄².₂₃₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.6C2^2	128,1844
C₈⋊C₄.₇C₂² = C₄².₂₃₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.7C2^2	128,1845
C₈⋊C₄.₈C₂² = C₄².₂₃₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.8C2^2	128,1847
C₈⋊C₄.₉C₂² = C₄².₂₃₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.9C2^2	128,1848
C₈⋊C₄.₁₀C₂² = C₄².₂₃₅D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.10C2^2	128,1849
C₈⋊C₄.₁₁C₂² = C₄².₃₅₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.11C2^2	128,1851
C₈⋊C₄.₁₂C₂² = C₄².₃₅₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.12C2^2	128,1852
C₈⋊C₄.₁₃C₂² = C₄².₃₅₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.13C2^2	128,1853
C₈⋊C₄.₁₄C₂² = C₄².₃₅₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.14C2^2	128,1856
C₈⋊C₄.₁₅C₂² = C₄².₃₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.15C2^2	128,1857
C₈⋊C₄.₁₆C₂² = C₄².₃₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.16C2^2	128,1858
C₈⋊C₄.₁₇C₂² = C₄².₃₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.17C2^2	128,1859
C₈⋊C₄.₁₈C₂² = C₄².₂₇₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.18C2^2	128,1946
C₈⋊C₄.₁₉C₂² = C₄².₂₇₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.19C2^2	128,1948
C₈⋊C₄.₂₀C₂² = C₄².₂₇₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.20C2^2	128,1950
C₈⋊C₄.₂₁C₂² = C₄².₂₇₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.21C2^2	128,1951
C₈⋊C₄.₂₂C₂² = C₄².₄₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.22C2^2	128,1953
C₈⋊C₄.₂₃C₂² = C₄².₄₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.23C2^2	128,1955
C₈⋊C₄.₂₄C₂² = C₄².₄₁₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.24C2^2	128,1957
C₈⋊C₄.₂₅C₂² = C₄².₂₈₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.25C2^2	128,1966
C₈⋊C₄.₂₆C₂² = C₄².₂₈₇D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.26C2^2	128,1967
C₈⋊C₄.₂₇C₂² = C₄².₂₈₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.27C2^2	128,1968
C₈⋊C₄.₂₈C₂² = C₄².₂₈₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.28C2^2	128,1969
C₈⋊C₄.₂₉C₂² = C₄².₂₉₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.29C2^2	128,1970
C₈⋊C₄.₃₀C₂² = C₄².₂₉₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.30C2^2	128,1971
C₈⋊C₄.₃₁C₂² = C₄².₂₉₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.31C2^2	128,1972
C₈⋊C₄.₃₂C₂² = C₄².₄₂₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.32C2^2	128,1973
C₈⋊C₄.₃₃C₂² = C₄².₄₂₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.33C2^2	128,1974
C₈⋊C₄.₃₄C₂² = C₄².₄₂₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.34C2^2	128,1975
C₈⋊C₄.₃₅C₂² = C₄².₄₂₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.35C2^2	128,1976
C₈⋊C₄.₃₆C₂² = SD₁₆⋊₈D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.36C2^2	128,2001
C₈⋊C₄.₃₇C₂² = Q₁₆⋊₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.37C2^2	128,2002
C₈⋊C₄.₃₈C₂² = Q₁₆⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.38C2^2	128,2003
C₈⋊C₄.₃₉C₂² = C₄².₄₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.39C2^2	128,2039
C₈⋊C₄.₄₀C₂² = C₄².₄₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.40C2^2	128,2040
C₈⋊C₄.₄₁C₂² = C₄².₄₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.41C2^2	128,2041
C₈⋊C₄.₄₂C₂² = C₄².₄₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.42C2^2	128,2044
C₈⋊C₄.₄₃C₂² = C₄².₄₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.43C2^2	128,2045
C₈⋊C₄.₄₄C₂² = C₄².₅₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.44C2^2	128,2047
C₈⋊C₄.₄₅C₂² = C₄².₅₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.45C2^2	128,2048
C₈⋊C₄.₄₆C₂² = C₄².₅₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.46C2^2	128,2049
C₈⋊C₄.₄₇C₂² = C₄².₅₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.47C2^2	128,2052
C₈⋊C₄.₄₈C₂² = C₄².₅₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.48C2^2	128,2053
C₈⋊C₄.₄₉C₂² = C₄².₅₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.49C2^2	128,2075
C₈⋊C₄.₅₀C₂² = C₄².₅₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.50C2^2	128,2076
C₈⋊C₄.₅₁C₂² = C₄².₅₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.51C2^2	128,2077
C₈⋊C₄.₅₂C₂² = C₄².₆₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.52C2^2	128,2078
C₈⋊C₄.₅₃C₂² = C₄².₆₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.53C2^2	128,2079
C₈⋊C₄.₅₄C₂² = C₄².₆₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.54C2^2	128,2080
C₈⋊C₄.₅₅C₂² = C₄².₆₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.55C2^2	128,2081
C₈⋊C₄.₅₆C₂² = C₄².₆₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.56C2^2	128,2082
C₈⋊C₄.₅₇C₂² = C₄².₅₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.57C2^2	128,2098
C₈⋊C₄.₅₈C₂² = C₄².₅₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.58C2^2	128,2099
C₈⋊C₄.₅₉C₂² = C₄².₅₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.59C2^2	128,2100
C₈⋊C₄.₆₀C₂² = C₄².₅₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.60C2^2	128,2101
C₈⋊C₄.₆₁C₂² = C₄².₅₁₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.61C2^2	128,2102
C₈⋊C₄.₆₂C₂² = C₄².₅₁₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.62C2^2	128,2103
C₈⋊C₄.₆₃C₂² = C₄².₅₁₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.63C2^2	128,2104
C₈⋊C₄.₆₄C₂² = C₄².₅₁₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.64C2^2	128,2105
C₈⋊C₄.₆₅C₂² = C₄².₅₁₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	128		C8:C4.65C2^2	128,2106
C₈⋊C₄.₆₆C₂² = C₄².₅₁₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.66C2^2	128,2107
C₈⋊C₄.₆₇C₂² = C₄².₅₁₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.67C2^2	128,2108
C₈⋊C₄.₆₈C₂² = C₄².₅₁₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.68C2^2	128,2109
C₈⋊C₄.₆₉C₂² = D₈⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.69C2^2	128,2116
C₈⋊C₄.₇₀C₂² = SD₁₆⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.70C2^2	128,2117
C₈⋊C₄.₇₁C₂² = SD₁₆⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.71C2^2	128,2118
C₈⋊C₄.₇₂C₂² = Q₁₆⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	128		C8:C4.72C2^2	128,2119
C₈⋊C₄.₇₃C₂² = SD₁₆⋊₃Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.73C2^2	128,2120
C₈⋊C₄.₇₄C₂² = D₈⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.74C2^2	128,2121
C₈⋊C₄.₇₅C₂² = Q₁₆⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	128		C8:C4.75C2^2	128,2122
C₈⋊C₄.₇₆C₂² = C₄².₇₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.76C2^2	128,2129
C₈⋊C₄.₇₇C₂² = C₄².₇₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.77C2^2	128,2130
C₈⋊C₄.₇₈C₂² = C₄².₇₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.78C2^2	128,2131
C₈⋊C₄.₇₉C₂² = C₄².₇₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.79C2^2	128,2132
C₈⋊C₄.₈₀C₂² = C₄².₅₃₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.80C2^2	128,2133
C₈⋊C₄.₈₁C₂² = C₄².₅₃₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.81C2^2	128,2134
C₈⋊C₄.₈₂C₂² = C₄².₅₃₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.82C2^2	128,2135
C₈⋊C₄.₈₃C₂² = C₄.C₄≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	16	8+	C8:C4.83C2^2	128,87
C₈⋊C₄.₈₄C₂² = C₄².(C₂×C₄)	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	32	8-	C8:C4.84C2^2	128,88
C₈⋊C₄.₈₅C₂² = C₄².₃₇₆D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.85C2^2	128,261
C₈⋊C₄.₈₆C₂² = C₄².₆₉D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.86C2^2	128,264
C₈⋊C₄.₈₇C₂² = C₄².₇₁D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.87C2^2	128,266
C₈⋊C₄.₈₈C₂² = C₄².₇₂D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.88C2^2	128,267
C₈⋊C₄.₈₉C₂² = C₄².₇₃D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.89C2^2	128,268
C₈⋊C₄.₉₀C₂² = C₄².₇₄D₄	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.90C2^2	128,269
C₈⋊C₄.₉₁C₂² = C₄².₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.91C2^2	128,388
C₈⋊C₄.₉₂C₂² = C₄².₃C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.92C2^2	128,389
C₈⋊C₄.₉₃C₂² = C₄².₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.93C2^2	128,390
C₈⋊C₄.₉₄C₂² = C₄².₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.94C2^2	128,393
C₈⋊C₄.₉₅C₂² = C₄².₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.95C2^2	128,394
C₈⋊C₄.₉₆C₂² = C₄².₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.96C2^2	128,396
C₈⋊C₄.₉₇C₂² = C₄².₃₀₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.97C2^2	128,1712
C₈⋊C₄.₉₈C₂² = C₄².₃₀₁C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.98C2^2	128,1713
C₈⋊C₄.₉₉C₂² = C₄².₃₀₂C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.99C2^2	128,1715
C₈⋊C₄.₁₀₀C₂² = Q₈.₄M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.100C2^2	128,1716
C₈⋊C₄.₁₀₁C₂² = C₄².₆₉₆C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.101C2^2	128,1717
C₈⋊C₄.₁₀₂C₂² = C₄².₃₀₄C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.102C2^2	128,1718
C₈⋊C₄.₁₀₃C₂² = C₄².₃₀₅C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.103C2^2	128,1719
C₈⋊C₄.₁₀₄C₂² = C₄².₆₉₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.104C2^2	128,1721
C₈⋊C₄.₁₀₅C₂² = D₄⋊₈M₄(2)	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.105C2^2	128,1722
C₈⋊C₄.₁₀₆C₂² = C₄².₃₀₇C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.106C2^2	128,1724
C₈⋊C₄.₁₀₇C₂² = C₄².₃₀₈C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.107C2^2	128,1725
C₈⋊C₄.₁₀₈C₂² = C₄².₃₀₉C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.108C2^2	128,1726
C₈⋊C₄.₁₀₉C₂² = C₄².₃₁₀C₂³	φ: C₂²/C₁ → C₂² ⊆ Out C₈⋊C₄	64		C8:C4.109C2^2	128,1727
C₈⋊C₄.₁₁₀C₂² = C₂×Q₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	128		C8:C4.110C2^2	128,1673
C₈⋊C₄.₁₁₁C₂² = C₄².₃₈₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.111C2^2	128,1675
C₈⋊C₄.₁₁₂C₂² = C₄×C₈.C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.112C2^2	128,1677
C₈⋊C₄.₁₁₃C₂² = C₄².₂₇₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.113C2^2	128,1679
C₈⋊C₄.₁₁₄C₂² = C₄².₂₇₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.114C2^2	128,1682
C₈⋊C₄.₁₁₅C₂² = C₄².₂₈₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.115C2^2	128,1683
C₈⋊C₄.₁₁₆C₂² = C₄².₂₈₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.116C2^2	128,1684
C₈⋊C₄.₁₁₇C₂² = C₄².₂₄₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.117C2^2	128,1882
C₈⋊C₄.₁₁₈C₂² = M₄(2)⋊₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.118C2^2	128,1884
C₈⋊C₄.₁₁₉C₂² = M₄(2).₂₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.119C2^2	128,1888
C₈⋊C₄.₁₂₀C₂² = C₂×C₈⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	128		C8:C4.120C2^2	128,1893
C₈⋊C₄.₁₂₁C₂² = C₄².₂₅₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.121C2^2	128,1894
C₈⋊C₄.₁₂₂C₂² = M₄(2)⋊₃Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.122C2^2	128,1895
C₈⋊C₄.₁₂₃C₂² = M₄(2)⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.123C2^2	128,1896
C₈⋊C₄.₁₂₄C₂² = M₄(2)⋊₅Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.124C2^2	128,1897
C₈⋊C₄.₁₂₅C₂² = M₄(2)⋊₆Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.125C2^2	128,1898
C₈⋊C₄.₁₂₆C₂² = C₄².₂₅₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.126C2^2	128,1903
C₈⋊C₄.₁₂₇C₂² = C₄².₂₅₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.127C2^2	128,1904
C₈⋊C₄.₁₂₈C₂² = C₄².₃₈₅C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.128C2^2	128,1905
C₈⋊C₄.₁₂₉C₂² = C₄².₃₈₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.129C2^2	128,1906
C₈⋊C₄.₁₃₀C₂² = C₄².₃₈₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.130C2^2	128,1907
C₈⋊C₄.₁₃₁C₂² = C₄².₃₈₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.131C2^2	128,1908
C₈⋊C₄.₁₃₂C₂² = C₄².₃₈₉C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.132C2^2	128,1909
C₈⋊C₄.₁₃₃C₂² = C₄².₃₉₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.133C2^2	128,1910
C₈⋊C₄.₁₃₄C₂² = C₄².₃₉₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.134C2^2	128,1911
C₈⋊C₄.₁₃₅C₂² = C₄².₂₅₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.135C2^2	128,1912
C₈⋊C₄.₁₃₆C₂² = C₄².₂₅₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.136C2^2	128,1913
C₈⋊C₄.₁₃₇C₂² = C₄².₂₅₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.137C2^2	128,1914
C₈⋊C₄.₁₃₈C₂² = C₄².₂₆₀D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.138C2^2	128,1915
C₈⋊C₄.₁₃₉C₂² = C₄².₂₆₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.139C2^2	128,1916
C₈⋊C₄.₁₄₀C₂² = C₄².₂₆₂D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.140C2^2	128,1917
C₈⋊C₄.₁₄₁C₂² = C₂×C₄².₂C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	128		C8:C4.141C2^2	128,255
C₈⋊C₄.₁₄₂C₂² = C₄².₆₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.142C2^2	128,256
C₈⋊C₄.₁₄₃C₂² = C₄².₄₀₅D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.143C2^2	128,257
C₈⋊C₄.₁₄₄C₂² = C₄².₄₀₆D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.144C2^2	128,258
C₈⋊C₄.₁₄₅C₂² = C₄².₄₀₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.145C2^2	128,260
C₈⋊C₄.₁₄₆C₂² = C₄².₆₇D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.146C2^2	128,262
C₈⋊C₄.₁₄₇C₂² = C₄².₆₈D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.147C2^2	128,263
C₈⋊C₄.₁₄₈C₂² = C₂×C₁₆⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32		C8:C4.148C2^2	128,841
C₈⋊C₄.₁₄₉C₂² = C₈.₂₃C₄²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32	4	C8:C4.149C2^2	128,842
C₈⋊C₄.₁₅₀C₂² = C₈.₅M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	16	4	C8:C4.150C2^2	128,897
C₈⋊C₄.₁₅₁C₂² = C₈.₁₉M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	32	4	C8:C4.151C2^2	128,898
C₈⋊C₄.₁₅₂C₂² = C₄².₂₆₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.152C2^2	128,1654
C₈⋊C₄.₁₅₃C₂² = C₄².₂₆₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.153C2^2	128,1655
C₈⋊C₄.₁₅₄C₂² = C₄².₆₇₈C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.154C2^2	128,1657
C₈⋊C₄.₁₅₅C₂² = C₄².₂₆₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.155C2^2	128,1664
C₈⋊C₄.₁₅₆C₂² = M₄(2)⋊₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.156C2^2	128,1667
C₈⋊C₄.₁₅₇C₂² = C₂×C₈⋊₄Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	128		C8:C4.157C2^2	128,1691
C₈⋊C₄.₁₅₈C₂² = C₄².₂₈₆C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.158C2^2	128,1692
C₈⋊C₄.₁₅₉C₂² = C₄².₂₈₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.159C2^2	128,1693
C₈⋊C₄.₁₆₀C₂² = M₄(2)⋊₉Q₈	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.160C2^2	128,1694
C₈⋊C₄.₁₆₁C₂² = Q₈×M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.161C2^2	128,1695
C₈⋊C₄.₁₆₂C₂² = C₄².₂₉₀C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.162C2^2	128,1697
C₈⋊C₄.₁₆₃C₂² = C₄².₂₉₁C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.163C2^2	128,1698
C₈⋊C₄.₁₆₄C₂² = C₄².₂₉₂C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.164C2^2	128,1699
C₈⋊C₄.₁₆₅C₂² = Q₈⋊₆M₄(2)	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.165C2^2	128,1703
C₈⋊C₄.₁₆₆C₂² = C₂×C₄².₃₀C₂²	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	128		C8:C4.166C2^2	128,1866
C₈⋊C₄.₁₆₇C₂² = C₄².₂₃₉D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.167C2^2	128,1867
C₈⋊C₄.₁₆₈C₂² = C₄².₃₆₇C₂³	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.168C2^2	128,1869
C₈⋊C₄.₁₆₉C₂² = C₄².₂₄₁D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.169C2^2	128,1871
C₈⋊C₄.₁₇₀C₂² = C₄².₂₄₃D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.170C2^2	128,1873
C₈⋊C₄.₁₇₁C₂² = C₄².₂₄₄D₄	φ: C₂²/C₂ → C₂ ⊆ Out C₈⋊C₄	64		C8:C4.171C2^2	128,1874
C₈⋊C₄.₁₇₂C₂² = C₄×C₈○D₄	φ: trivial image	64		C8:C4.172C2^2	128,1606
C₈⋊C₄.₁₇₃C₂² = D₄.₅C₄²	φ: trivial image	64		C8:C4.173C2^2	128,1607
C₈⋊C₄.₁₇₄C₂² = C₄².₂₉₃C₂³	φ: trivial image	64		C8:C4.174C2^2	128,1700
C₈⋊C₄.₁₇₅C₂² = C₄².₂₉₄C₂³	φ: trivial image	64		C8:C4.175C2^2	128,1701
C₈⋊C₄.₁₇₆C₂² = D₄⋊₆M₄(2)	φ: trivial image	64		C8:C4.176C2^2	128,1702

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

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