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Extensions 1→N→G→Q→1 with N=C8⋊6D4 and Q=C2

Direct product G=N×Q with N=C8⋊6D4 and Q=C2
dρLabelID
C2×C8⋊6D464C2xC8:6D4128,1660

Semidirect products G=N:Q with N=C8⋊6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊6D4⋊1C2 = C8⋊D8φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:1C2128,417
C8⋊6D4⋊2C2 = C8⋊2D8φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:2C2128,419
C8⋊6D4⋊3C2 = D8⋊4D4φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:3C2128,2004
C8⋊6D4⋊4C2 = D8⋊5D4φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:4C2128,2005
C8⋊6D4⋊5C2 = SD16⋊1D4φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:5C2128,2006
C8⋊6D4⋊6C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:6C2128,2007
C8⋊6D4⋊7C2 = SD16⋊3D4φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:7C2128,2008
C8⋊6D4⋊8C2 = Q16⋊4D4φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:8C2128,2009
C8⋊6D4⋊9C2 = Q16⋊5D4φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:9C2128,2010
C8⋊6D4⋊10C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:10C2128,2054
C8⋊6D4⋊11C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:11C2128,2055
C8⋊6D4⋊12C2 = C42.473C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:12C2128,2056
C8⋊6D4⋊13C2 = C42.474C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:13C2128,2057
C8⋊6D4⋊14C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:14C2128,2058
C8⋊6D4⋊15C2 = C42.476C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:15C2128,2059
C8⋊6D4⋊16C2 = C42.478C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:16C2128,2061
C8⋊6D4⋊17C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:17C2128,2062
C8⋊6D4⋊18C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:18C2128,2063
C8⋊6D4⋊19C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:19C2128,2064
C8⋊6D4⋊20C2 = C42.482C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:20C2128,2065
C8⋊6D4⋊21C2 = C42.492C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:21C2128,2083
C8⋊6D4⋊22C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:22C2128,2085
C8⋊6D4⋊23C2 = C42.495C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:23C2128,2086
C8⋊6D4⋊24C2 = C42.496C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:24C2128,2087
C8⋊6D4⋊25C2 = C42.498C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:25C2128,2089
C8⋊6D4⋊26C2 = C42.248C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:26C2128,429
C8⋊6D4⋊27C2 = C42.252C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:27C2128,433
C8⋊6D4⋊28C2 = C8⋊9D8φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:28C2128,313
C8⋊6D4⋊29C2 = D4⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:29C2128,318
C8⋊6D4⋊30C2 = C8⋊6D8φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:30C2128,321
C8⋊6D4⋊31C2 = C8⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:31C2128,326
C8⋊6D4⋊32C2 = C42.265C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:32C2128,1662
C8⋊6D4⋊33C2 = M4(2)⋊22D4φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:33C2128,1665
C8⋊6D4⋊34C2 = D4×M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:34C2128,1666
C8⋊6D4⋊35C2 = M4(2)⋊23D4φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:35C2128,1667
C8⋊6D4⋊36C2 = C42.292C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:36C2128,1699
C8⋊6D4⋊37C2 = C42.294C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:37C2128,1701
C8⋊6D4⋊38C2 = Q8⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:38C2128,1703
C8⋊6D4⋊39C2 = D4⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:39C2128,1706
C8⋊6D4⋊40C2 = C42.693C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:40C2128,1707
C8⋊6D4⋊41C2 = C42.297C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:41C2128,1708
C8⋊6D4⋊42C2 = C42.299C23φ: C2/C1 → C2 ⊆ Out C8⋊6D432C8:6D4:42C2128,1710
C8⋊6D4⋊43C2 = C42.694C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:43C2128,1711
C8⋊6D4⋊44C2 = C42.301C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:44C2128,1713
C8⋊6D4⋊45C2 = C42.698C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:45C2128,1721
C8⋊6D4⋊46C2 = Q8⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:46C2128,1723
C8⋊6D4⋊47C2 = C42.308C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:47C2128,1725
C8⋊6D4⋊48C2 = C42.309C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:48C2128,1726
C8⋊6D4⋊49C2 = C42.310C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4:49C2128,1727
C8⋊6D4⋊50C2 = C42.681C23φ: trivial image64C8:6D4:50C2128,1663
C8⋊6D4⋊51C2 = C42.290C23φ: trivial image64C8:6D4:51C2128,1697
C8⋊6D4⋊52C2 = C42.291C23φ: trivial image64C8:6D4:52C2128,1698

Non-split extensions G=N.Q with N=C8⋊6D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊6D4.1C2 = C8.D8φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.1C2128,421
C8⋊6D4.2C2 = C8⋊3SD16φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.2C2128,423
C8⋊6D4.3C2 = C8⋊4SD16φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.3C2128,425
C8⋊6D4.4C2 = C8.8SD16φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.4C2128,427
C8⋊6D4.5C2 = C42.477C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.5C2128,2060
C8⋊6D4.6C2 = C42.493C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.6C2128,2084
C8⋊6D4.7C2 = C42.497C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.7C2128,2088
C8⋊6D4.8C2 = C42.250C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.8C2128,431
C8⋊6D4.9C2 = C42.254C23φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.9C2128,435
C8⋊6D4.10C2 = C8.31D8φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.10C2128,62
C8⋊6D4.11C2 = C8⋊15SD16φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.11C2128,315
C8⋊6D4.12C2 = Q8⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.12C2128,320
C8⋊6D4.13C2 = C8⋊9SD16φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.13C2128,322
C8⋊6D4.14C2 = C8⋊M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊6D464C8:6D4.14C2128,324

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