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Extensions 1→N→G→Q→1 with N=C23.37D4 and Q=C2

Direct product G=N×Q with N=C23.37D4 and Q=C2
dρLabelID
C2×C23.37D432C2xC2^3.37D4128,1625

Semidirect products G=N:Q with N=C23.37D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.37D4⋊1C2 = M4(2)⋊5D4φ: C2/C1 → C2 ⊆ Out C23.37D4168+C2^3.37D4:1C2128,740
C23.37D4⋊2C2 = C24.177D4φ: C2/C1 → C2 ⊆ Out C23.37D416C2^3.37D4:2C2128,1735
C23.37D4⋊3C2 = C24.104D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:3C2128,1737
C23.37D4⋊4C2 = C4○D4⋊D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:4C2128,1740
C23.37D4⋊5C2 = D4.(C2×D4)φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:5C2128,1741
C23.37D4⋊6C2 = C42.444D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:6C2128,1770
C23.37D4⋊7C2 = C42.446D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:7C2128,1772
C23.37D4⋊8C2 = C42.14C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:8C2128,1773
C23.37D4⋊9C2 = C42.16C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:9C2128,1775
C23.37D4⋊10C2 = C24.117D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:10C2128,1826
C23.37D4⋊11C2 = (C2×D4).301D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:11C2128,1828
C23.37D4⋊12C2 = C42.45C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:12C2128,2042
C23.37D4⋊13C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:13C2128,2043
C23.37D4⋊14C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:14C2128,2050
C23.37D4⋊15C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:15C2128,2051
C23.37D4⋊16C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:16C2128,2054
C23.37D4⋊17C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:17C2128,2055
C23.37D4⋊18C2 = C42.473C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:18C2128,2056
C23.37D4⋊19C2 = C42.474C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:19C2128,2057
C23.37D4⋊20C2 = C4○D4.D4φ: C2/C1 → C2 ⊆ Out C23.37D4168+C2^3.37D4:20C2128,527
C23.37D4⋊21C2 = C8⋊C22⋊C4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:21C2128,615
C23.37D4⋊22C2 = C24.24D4φ: C2/C1 → C2 ⊆ Out C23.37D416C2^3.37D4:22C2128,619
C23.37D4⋊23C2 = M4(2).47D4φ: C2/C1 → C2 ⊆ Out C23.37D4168+C2^3.37D4:23C2128,635
C23.37D4⋊24C2 = C42.5D4φ: C2/C1 → C2 ⊆ Out C23.37D4168+C2^3.37D4:24C2128,636
C23.37D4⋊25C2 = (C2×C8)⋊4D4φ: C2/C1 → C2 ⊆ Out C23.37D4168+C2^3.37D4:25C2128,642
C23.37D4⋊26C2 = M4(2).32D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:26C2128,710
C23.37D4⋊27C2 = C42⋊9D4φ: C2/C1 → C2 ⊆ Out C23.37D416C2^3.37D4:27C2128,734
C23.37D4⋊28C2 = C42.129D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:28C2128,735
C23.37D4⋊29C2 = C4⋊C4.96D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:29C2128,777
C23.37D4⋊30C2 = M4(2).8D4φ: C2/C1 → C2 ⊆ Out C23.37D4168+C2^3.37D4:30C2128,780
C23.37D4⋊31C2 = 2+ 1+4⋊5C4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:31C2128,1629
C23.37D4⋊32C2 = C42.277C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:32C2128,1680
C23.37D4⋊33C2 = M4(2)⋊14D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:33C2128,1787
C23.37D4⋊34C2 = (C2×C8)⋊11D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:34C2128,1789
C23.37D4⋊35C2 = (C2×C8)⋊12D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:35C2128,1790
C23.37D4⋊36C2 = C42.366C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:36C2128,1868
C23.37D4⋊37C2 = C42.240D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4:37C2128,1870
C23.37D4⋊38C2 = C24.98D4φ: trivial image32C2^3.37D4:38C2128,1628
C23.37D4⋊39C2 = C4×C8⋊C22φ: trivial image32C2^3.37D4:39C2128,1676

Non-split extensions G=N.Q with N=C23.37D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C23.37D4.1C2 = (C2×C8).D4φ: C2/C1 → C2 ⊆ Out C23.37D4168+C2^3.37D4.1C2128,813
C23.37D4.2C2 = C42.219D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.2C2128,1809
C23.37D4.3C2 = C42.20C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.3C2128,1813
C23.37D4.4C2 = C4.4D4⋊13C4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.4C2128,620
C23.37D4.5C2 = C4.D4⋊3C4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.5C2128,663
C23.37D4.6C2 = M4(2).31D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.6C2128,709
C23.37D4.7C2 = (C2×D4)⋊2Q8φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.7C2128,759
C23.37D4.8C2 = C4⋊C4.97D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.8C2128,778
C23.37D4.9C2 = M4(2).12D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.9C2128,795
C23.37D4.10C2 = C42.278C23φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.10C2128,1681
C23.37D4.11C2 = C42.242D4φ: C2/C1 → C2 ⊆ Out C23.37D432C2^3.37D4.11C2128,1872

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