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Extensions 1→N→G→Q→1 with N=C23.36D4 and Q=C2

Direct product G=N×Q with N=C23.36D4 and Q=C2
dρLabelID
C2×C23.36D464C2xC2^3.36D4128,1627

Semidirect products G=N:Q with N=C23.36D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.36D4⋊1C2 = C24.105D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:1C2128,1738
C23.36D4⋊2C2 = C24.106D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:2C2128,1739
C23.36D4⋊3C2 = (C2×D4)⋊21D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:3C2128,1744
C23.36D4⋊4C2 = (C2×Q8)⋊17D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:4C2128,1745
C23.36D4⋊5C2 = C42.211D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:5C2128,1768
C23.36D4⋊6C2 = C42.212D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:6C2128,1769
C23.36D4⋊7C2 = C42.18C23φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:7C2128,1777
C23.36D4⋊8C2 = C42.19C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:8C2128,1778
C23.36D4⋊9C2 = C24.183D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:9C2128,1824
C23.36D4⋊10C2 = C24.116D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:10C2128,1825
C23.36D4⋊11C2 = (C2×D4).303D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:11C2128,1830
C23.36D4⋊12C2 = (C2×D4).304D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:12C2128,1831
C23.36D4⋊13C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:13C2128,2038
C23.36D4⋊14C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:14C2128,2039
C23.36D4⋊15C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:15C2128,2040
C23.36D4⋊16C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:16C2128,2041
C23.36D4⋊17C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:17C2128,2046
C23.36D4⋊18C2 = C42.50C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:18C2128,2047
C23.36D4⋊19C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:19C2128,2048
C23.36D4⋊20C2 = C42.52C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:20C2128,2049
C23.36D4⋊21C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:21C2128,2054
C23.36D4⋊22C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:22C2128,2055
C23.36D4⋊23C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:23C2128,2058
C23.36D4⋊24C2 = C42.476C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:24C2128,2059
C23.36D4⋊25C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:25C2128,2062
C23.36D4⋊26C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:26C2128,2063
C23.36D4⋊27C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:27C2128,2064
C23.36D4⋊28C2 = C42.482C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:28C2128,2065
C23.36D4⋊29C2 = 2+ 1+4⋊3C4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:29C2128,524
C23.36D4⋊30C2 = 2- 1+4⋊2C4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:30C2128,525
C23.36D4⋊31C2 = M4(2).48D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:31C2128,639
C23.36D4⋊32C2 = M4(2)⋊6D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:32C2128,769
C23.36D4⋊33C2 = C42⋊11D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:33C2128,771
C23.36D4⋊34C2 = C42⋊12D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:34C2128,772
C23.36D4⋊35C2 = M4(2).10D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:35C2128,783
C23.36D4⋊36C2 = 2+ 1+4⋊5C4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:36C2128,1629
C23.36D4⋊37C2 = 2- 1+4⋊4C4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:37C2128,1630
C23.36D4⋊38C2 = C42.280C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:38C2128,1683
C23.36D4⋊39C2 = C42.281C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:39C2128,1684
C23.36D4⋊40C2 = M4(2)⋊14D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:40C2128,1787
C23.36D4⋊41C2 = M4(2)⋊15D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:41C2128,1788
C23.36D4⋊42C2 = (C2×C8)⋊13D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:42C2128,1792
C23.36D4⋊43C2 = (C2×C8)⋊14D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:43C2128,1793
C23.36D4⋊44C2 = C42.366C23φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4:44C2128,1868
C23.36D4⋊45C2 = C42.243D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:45C2128,1873
C23.36D4⋊46C2 = C42.244D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4:46C2128,1874
C23.36D4⋊47C2 = C24.98D4φ: trivial image32C2^3.36D4:47C2128,1628
C23.36D4⋊48C2 = C4×C8⋊C22φ: trivial image32C2^3.36D4:48C2128,1676

Non-split extensions G=N.Q with N=C23.36D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.36D4.1C2 = C42.448D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.1C2128,1811
C23.36D4.2C2 = C42.449D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.2C2128,1812
C23.36D4.3C2 = C42.22C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.3C2128,1815
C23.36D4.4C2 = C42.23C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.4C2128,1816
C23.36D4.5C2 = C4○D4.4Q8φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.5C2128,547
C23.36D4.6C2 = C4○D4.5Q8φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.6C2128,548
C23.36D4.7C2 = C4≀C2⋊C4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4.7C2128,591
C23.36D4.8C2 = C42⋊9(C2×C4)φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4.8C2128,592
C23.36D4.9C2 = M4(2).49D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.9C2128,640
C23.36D4.10C2 = M4(2).7D4φ: C2/C1 → C2 ⊆ Out C23.36D432C2^3.36D4.10C2128,770
C23.36D4.11C2 = M4(2).11D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.11C2128,784
C23.36D4.12C2 = (C2×C8).55D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.12C2128,810
C23.36D4.13C2 = (C2×C8).165D4φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.13C2128,811
C23.36D4.14C2 = C42.367C23φ: C2/C1 → C2 ⊆ Out C23.36D464C2^3.36D4.14C2128,1869
C23.36D4.15C2 = C4×C8.C22φ: trivial image64C2^3.36D4.15C2128,1677

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