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Extensions 1→N→G→Q→1 with N=C22×C3⋊D4 and Q=C2

Direct product G=N×Q with N=C22×C3⋊D4 and Q=C2
dρLabelID
C23×C3⋊D496C2^3xC3:D4192,1529

Semidirect products G=N:Q with N=C22×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊D4)⋊1C2 = C23⋊3D12φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):1C2192,519
(C22×C3⋊D4)⋊2C2 = C24.32D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):2C2192,782
(C22×C3⋊D4)⋊3C2 = C2×D6⋊D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):3C2192,1046
(C22×C3⋊D4)⋊4C2 = C2×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):4C2192,1048
(C22×C3⋊D4)⋊5C2 = C24.38D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):5C2192,1049
(C22×C3⋊D4)⋊6C2 = C23⋊4D12φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):6C2192,1052
(C22×C3⋊D4)⋊7C2 = C24⋊7D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):7C2192,1148
(C22×C3⋊D4)⋊8C2 = C24⋊8D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):8C2192,1149
(C22×C3⋊D4)⋊9C2 = C24.44D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):9C2192,1150
(C22×C3⋊D4)⋊10C2 = C24.45D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):10C2192,1151
(C22×C3⋊D4)⋊11C2 = C2×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):11C2192,1349
(C22×C3⋊D4)⋊12C2 = C2×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):12C2192,1358
(C22×C3⋊D4)⋊13C2 = C2×D6⋊3D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):13C2192,1359
(C22×C3⋊D4)⋊14C2 = D4×C3⋊D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):14C2192,1360
(C22×C3⋊D4)⋊15C2 = C2×C23.14D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):15C2192,1361
(C22×C3⋊D4)⋊16C2 = C2×C12⋊3D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):16C2192,1362
(C22×C3⋊D4)⋊17C2 = C24⋊12D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):17C2192,1363
(C22×C3⋊D4)⋊18C2 = C2×C24⋊4S3φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):18C2192,1399
(C22×C3⋊D4)⋊19C2 = C22×S3×D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):19C2192,1514
(C22×C3⋊D4)⋊20C2 = C22×D4⋊2S3φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4):20C2192,1515
(C22×C3⋊D4)⋊21C2 = C2×D4⋊6D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4):21C2192,1516
(C22×C3⋊D4)⋊22C2 = C22×C4○D12φ: trivial image96(C2^2xC3:D4):22C2192,1513

Non-split extensions G=N.Q with N=C22×C3⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊D4).1C2 = C2×C23.6D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4).1C2192,513
(C22×C3⋊D4).2C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).2C2192,515
(C22×C3⋊D4).3C2 = C24.24D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).3C2192,516
(C22×C3⋊D4).4C2 = C24.60D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).4C2192,517
(C22×C3⋊D4).5C2 = C24.25D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).5C2192,518
(C22×C3⋊D4).6C2 = C24.27D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).6C2192,520
(C22×C3⋊D4).7C2 = C24.76D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).7C2192,772
(C22×C3⋊D4).8C2 = C2×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).8C2192,1044
(C22×C3⋊D4).9C2 = C24.35D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D448(C2^2xC3:D4).9C2192,1045
(C22×C3⋊D4).10C2 = C2×C23.9D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).10C2192,1047
(C22×C3⋊D4).11C2 = C2×C23.11D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).11C2192,1050
(C22×C3⋊D4).12C2 = C2×C23.21D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).12C2192,1051
(C22×C3⋊D4).13C2 = C2×C23.28D6φ: C2/C1 → C2 ⊆ Out C22×C3⋊D496(C2^2xC3:D4).13C2192,1348
(C22×C3⋊D4).14C2 = C2×C4×C3⋊D4φ: trivial image96(C2^2xC3:D4).14C2192,1347

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