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Extensions 1→N→G→Q→1 with N=C23×C12 and Q=C2

Direct product G=N×Q with N=C23×C12 and Q=C2
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C23×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23×C12)⋊1C2 = C24.76D6φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):1C2192,772
(C23×C12)⋊2C2 = C3×C23.23D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):2C2192,819
(C23×C12)⋊3C2 = C22×D6⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):3C2192,1346
(C23×C12)⋊4C2 = C2×C23.28D6φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):4C2192,1348
(C23×C12)⋊5C2 = C2×C6×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):5C2192,1401
(C23×C12)⋊6C2 = D4×C2×C12φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):6C2192,1404
(C23×C12)⋊7C2 = C6×C22.D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):7C2192,1413
(C23×C12)⋊8C2 = C2×C12⋊7D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):8C2192,1349
(C23×C12)⋊9C2 = C23×D12φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):9C2192,1512
(C23×C12)⋊10C2 = C24.83D6φ: C2/C1 → C2 ⊆ Aut C23×C1248(C2^3xC12):10C2192,1350
(C23×C12)⋊11C2 = C22×C4○D12φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):11C2192,1513
(C23×C12)⋊12C2 = C2×C4×C3⋊D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):12C2192,1347
(C23×C12)⋊13C2 = S3×C23×C4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):13C2192,1511
(C23×C12)⋊14C2 = C6×C4⋊D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):14C2192,1411
(C23×C12)⋊15C2 = C3×C22.19C24φ: C2/C1 → C2 ⊆ Aut C23×C1248(C2^3xC12):15C2192,1414
(C23×C12)⋊16C2 = D4×C22×C6φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):16C2192,1531
(C23×C12)⋊17C2 = C2×C6×C4○D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12):17C2192,1533

Non-split extensions G=N.Q with N=C23×C12 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C23×C12).1C2 = C2×C6.C42φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).1C2192,767
(C23×C12).2C2 = C24.73D6φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).2C2192,769
(C23×C12).3C2 = C24.74D6φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).3C2192,770
(C23×C12).4C2 = C6×C2.C42φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).4C2192,808
(C23×C12).5C2 = C12×C22⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).5C2192,810
(C23×C12).6C2 = C3×C23.34D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).6C2192,814
(C23×C12).7C2 = C3×C23.8Q8φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).7C2192,818
(C23×C12).8C2 = C6×C22⋊C8φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).8C2192,839
(C23×C12).9C2 = C22×Dic3⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).9C2192,1342
(C23×C12).10C2 = C2×C6×C4⋊C4φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).10C2192,1402
(C23×C12).11C2 = C24.75D6φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).11C2192,771
(C23×C12).12C2 = C2×C12.48D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).12C2192,1343
(C23×C12).13C2 = C22×C4⋊Dic3φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).13C2192,1344
(C23×C12).14C2 = C23×Dic6φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).14C2192,1510
(C23×C12).15C2 = C24.6Dic3φ: C2/C1 → C2 ⊆ Aut C23×C1248(C2^3xC12).15C2192,766
(C23×C12).16C2 = C22×C4.Dic3φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).16C2192,1340
(C23×C12).17C2 = C2×C23.26D6φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).17C2192,1345
(C23×C12).18C2 = C2×C12.55D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).18C2192,765
(C23×C12).19C2 = C4×C6.D4φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).19C2192,768
(C23×C12).20C2 = C23×C3⋊C8φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).20C2192,1339
(C23×C12).21C2 = Dic3×C22×C4φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).21C2192,1341
(C23×C12).22C2 = C3×C23.7Q8φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).22C2192,813
(C23×C12).23C2 = C3×C24.4C4φ: C2/C1 → C2 ⊆ Aut C23×C1248(C2^3xC12).23C2192,840
(C23×C12).24C2 = C6×C42⋊C2φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).24C2192,1403
(C23×C12).25C2 = C6×C22⋊Q8φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).25C2192,1412
(C23×C12).26C2 = C2×C6×M4(2)φ: C2/C1 → C2 ⊆ Aut C23×C1296(C2^3xC12).26C2192,1455
(C23×C12).27C2 = Q8×C22×C6φ: C2/C1 → C2 ⊆ Aut C23×C12192(C2^3xC12).27C2192,1532

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