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Extensions 1→N→G→Q→1 with N=C8⋊8D4 and Q=C2

Direct product G=N×Q with N=C8⋊8D4 and Q=C2
dρLabelID
C2×C8⋊8D464C2xC8:8D4128,1779

Semidirect products G=N:Q with N=C8⋊8D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊8D4⋊1C2 = C24.121D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:1C2128,1920
C8⋊8D4⋊2C2 = C24.123D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:2C2128,1922
C8⋊8D4⋊3C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:3C2128,1930
C8⋊8D4⋊4C2 = C4.162+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:4C2128,1933
C8⋊8D4⋊5C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:5C2128,1979
C8⋊8D4⋊6C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:6C2128,1989
C8⋊8D4⋊7C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:7C2128,2014
C8⋊8D4⋊8C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:8C2128,2016
C8⋊8D4⋊9C2 = C42.486C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:9C2128,2069
C8⋊8D4⋊10C2 = C42.489C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:10C2128,2072
C8⋊8D4⋊11C2 = M4(2)⋊14D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:11C2128,1787
C8⋊8D4⋊12C2 = M4(2)⋊15D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:12C2128,1788
C8⋊8D4⋊13C2 = M4(2)⋊16D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:13C2128,1794
C8⋊8D4⋊14C2 = M4(2)⋊17D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:14C2128,1795
C8⋊8D4⋊15C2 = C42.391C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:15C2128,1911
C8⋊8D4⋊16C2 = C42.257D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:16C2128,1912
C8⋊8D4⋊17C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:17C2128,1996
C8⋊8D4⋊18C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:18C2128,1999
C8⋊8D4⋊19C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:19C2128,2002
C8⋊8D4⋊20C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:20C2128,2003
C8⋊8D4⋊21C2 = C42.57C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:21C2128,2075
C8⋊8D4⋊22C2 = C42.60C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:22C2128,2078
C8⋊8D4⋊23C2 = C42.62C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:23C2128,2080
C8⋊8D4⋊24C2 = C42.64C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:24C2128,2082
C8⋊8D4⋊25C2 = C23⋊4SD16φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:25C2128,1919
C8⋊8D4⋊26C2 = C24.124D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:26C2128,1923
C8⋊8D4⋊27C2 = C4.152+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:27C2128,1932
C8⋊8D4⋊28C2 = C4.192+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:28C2128,1936
C8⋊8D4⋊29C2 = C42.294D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:29C2128,1978
C8⋊8D4⋊30C2 = C42.298D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:30C2128,1982
C8⋊8D4⋊31C2 = C42.27C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:31C2128,1992
C8⋊8D4⋊32C2 = C42.30C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:32C2128,1995
C8⋊8D4⋊33C2 = D4×SD16φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:33C2128,2013
C8⋊8D4⋊34C2 = D4⋊7SD16φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:34C2128,2027
C8⋊8D4⋊35C2 = C42.461C23φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:35C2128,2028
C8⋊8D4⋊36C2 = C42.462C23φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:36C2128,2029
C8⋊8D4⋊37C2 = D4⋊8SD16φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:37C2128,2030
C8⋊8D4⋊38C2 = C42.465C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:38C2128,2032
C8⋊8D4⋊39C2 = C42.466C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:39C2128,2033
C8⋊8D4⋊40C2 = C42.468C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:40C2128,2035
C8⋊8D4⋊41C2 = C42.469C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:41C2128,2036
C8⋊8D4⋊42C2 = D4⋊9SD16φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:42C2128,2067
C8⋊8D4⋊43C2 = (C2×C8)⋊11D4φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:43C2128,1789
C8⋊8D4⋊44C2 = (C2×C8)⋊13D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:44C2128,1792
C8⋊8D4⋊45C2 = C42.385C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:45C2128,1905
C8⋊8D4⋊46C2 = C42.386C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:46C2128,1906
C8⋊8D4⋊47C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:47C2128,2038
C8⋊8D4⋊48C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:48C2128,2039
C8⋊8D4⋊49C2 = C42.45C23φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:49C2128,2042
C8⋊8D4⋊50C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out C8⋊8D432C8:8D4:50C2128,2043
C8⋊8D4⋊51C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:51C2128,2048
C8⋊8D4⋊52C2 = C42.52C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:52C2128,2049
C8⋊8D4⋊53C2 = C42.55C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:53C2128,2052
C8⋊8D4⋊54C2 = C42.56C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4:54C2128,2053
C8⋊8D4⋊55C2 = C24.144D4φ: trivial image32C8:8D4:55C2128,1782
C8⋊8D4⋊56C2 = C42.365D4φ: trivial image64C8:8D4:56C2128,1899
C8⋊8D4⋊57C2 = C42.308D4φ: trivial image64C8:8D4:57C2128,1900

Non-split extensions G=N.Q with N=C8⋊8D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊8D4.1C2 = C42.296D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4.1C2128,1980
C8⋊8D4.2C2 = C42.25C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4.2C2128,1990
C8⋊8D4.3C2 = C42.390C23φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4.3C2128,1910
C8⋊8D4.4C2 = C42.258D4φ: C2/C1 → C2 ⊆ Out C8⋊8D464C8:8D4.4C2128,1913

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