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Extensions 1→N→G→Q→1 with N=D4.D4 and Q=C2

Direct product G=N×Q with N=D4.D4 and Q=C2
dρLabelID
C2×D4.D464C2xD4.D4128,1762

Semidirect products G=N:Q with N=D4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.D4⋊1C2 = C42.211D4φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:1C2128,1768
D4.D4⋊2C2 = C42.445D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:2C2128,1771
D4.D4⋊3C2 = C42.15C23φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:3C2128,1774
D4.D4⋊4C2 = C42.19C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:4C2128,1778
D4.D4⋊5C2 = C42.228D4φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:5C2128,1842
D4.D4⋊6C2 = C42.234D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:6C2128,1848
D4.D4⋊7C2 = C42.354C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:7C2128,1852
D4.D4⋊8C2 = C42.357C23φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:8C2128,1855
D4.D4⋊9C2 = C42.272D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:9C2128,1946
D4.D4⋊10C2 = C42.276D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:10C2128,1950
D4.D4⋊11C2 = C42.407C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:11C2128,1953
D4.D4⋊12C2 = C42.411C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:12C2128,1957
D4.D4⋊13C2 = C42.300D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:13C2128,1984
D4.D4⋊14C2 = C42.302D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:14C2128,1986
D4.D4⋊15C2 = C42.25C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:15C2128,1990
D4.D4⋊16C2 = C42.27C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:16C2128,1992
D4.D4⋊17C2 = SD16⋊6D4φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:17C2128,1998
D4.D4⋊18C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:18C2128,1999
D4.D4⋊19C2 = D8⋊4D4φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:19C2128,2004
D4.D4⋊20C2 = SD16⋊3D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:20C2128,2008
D4.D4⋊21C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:21C2128,2039
D4.D4⋊22C2 = C42.55C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:22C2128,2052
D4.D4⋊23C2 = C42.478C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:23C2128,2061
D4.D4⋊24C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:24C2128,2062
D4.D4⋊25C2 = C42.508C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:25C2128,2099
D4.D4⋊26C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:26C2128,2108
D4.D4⋊27C2 = C42.72C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:27C2128,2129
D4.D4⋊28C2 = C42.75C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:28C2128,2132
D4.D4⋊29C2 = C42.531C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:29C2128,2133
D4.D4⋊30C2 = D4.D8φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:30C2128,371
D4.D4⋊31C2 = Q8⋊3SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:31C2128,374
D4.D4⋊32C2 = C42.207C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:32C2128,378
D4.D4⋊33C2 = D4.7D8φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:33C2128,379
D4.D4⋊34C2 = D4⋊4SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:34C2128,386
D4.D4⋊35C2 = D4.2D8φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:35C2128,413
D4.D4⋊36C2 = C42.252C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:36C2128,433
D4.D4⋊37C2 = C42.264D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:37C2128,1938
D4.D4⋊38C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:38C2128,1944
D4.D4⋊39C2 = C42.294D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:39C2128,1978
D4.D4⋊40C2 = C42.296D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:40C2128,1980
D4.D4⋊41C2 = D4×SD16φ: C2/C1 → C2 ⊆ Out D4.D432D4.D4:41C2128,2013
D4.D4⋊42C2 = D8⋊13D4φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:42C2128,2015
D4.D4⋊43C2 = D4⋊8SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:43C2128,2030
D4.D4⋊44C2 = C42.468C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:44C2128,2035
D4.D4⋊45C2 = C42.501C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:45C2128,2092
D4.D4⋊46C2 = Q8⋊9SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:46C2128,2124
D4.D4⋊47C2 = C42.527C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4:47C2128,2125
D4.D4⋊48C2 = C42.443D4φ: trivial image64D4.D4:48C2128,1767
D4.D4⋊49C2 = C42.222D4φ: trivial image32D4.D4:49C2128,1833
D4.D4⋊50C2 = C42.451D4φ: trivial image64D4.D4:50C2128,1839

Non-split extensions G=N.Q with N=D4.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.D4.1C2 = C42.513C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.1C2128,2104
D4.D4.2C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.2C2128,2130
D4.D4.3C2 = D4.5SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.3C2128,375
D4.D4.4C2 = C42.211C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.4C2128,382
D4.D4.5C2 = Q8⋊4SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.5C2128,383
D4.D4.6C2 = C8⋊11SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.6C2128,403
D4.D4.7C2 = C8⋊10SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.7C2128,405
D4.D4.8C2 = D4.3SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.8C2128,411
D4.D4.9C2 = C8⋊3SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.9C2128,423
D4.D4.10C2 = C8⋊4SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.10C2128,425
D4.D4.11C2 = C42.250C23φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.11C2128,431
D4.D4.12C2 = Q8⋊7SD16φ: C2/C1 → C2 ⊆ Out D4.D464D4.D4.12C2128,2091

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