Extensions 1→N→G→Q→1 with N=C3×Dic3 and Q=C2×C4

Direct product G=N×Q with N=C3×Dic3 and Q=C2×C4
dρLabelID
Dic3×C2×C1296Dic3xC2xC12288,693

Semidirect products G=N:Q with N=C3×Dic3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C3×Dic3)⋊1(C2×C4) = S3×Dic3⋊C4φ: C2×C4/C2C22 ⊆ Out C3×Dic396(C3xDic3):1(C2xC4)288,524
(C3×Dic3)⋊2(C2×C4) = C62.51C23φ: C2×C4/C2C22 ⊆ Out C3×Dic348(C3xDic3):2(C2xC4)288,529
(C3×Dic3)⋊3(C2×C4) = C62.53C23φ: C2×C4/C2C22 ⊆ Out C3×Dic348(C3xDic3):3(C2xC4)288,531
(C3×Dic3)⋊4(C2×C4) = C62.74C23φ: C2×C4/C2C22 ⊆ Out C3×Dic348(C3xDic3):4(C2xC4)288,552
(C3×Dic3)⋊5(C2×C4) = Dic3×C3⋊D4φ: C2×C4/C2C22 ⊆ Out C3×Dic348(C3xDic3):5(C2xC4)288,620
(C3×Dic3)⋊6(C2×C4) = C62.115C23φ: C2×C4/C2C22 ⊆ Out C3×Dic348(C3xDic3):6(C2xC4)288,621
(C3×Dic3)⋊7(C2×C4) = Dic34D12φ: C2×C4/C4C2 ⊆ Out C3×Dic348(C3xDic3):7(C2xC4)288,528
(C3×Dic3)⋊8(C2×C4) = C4×C3⋊D12φ: C2×C4/C4C2 ⊆ Out C3×Dic348(C3xDic3):8(C2xC4)288,551
(C3×Dic3)⋊9(C2×C4) = C4×C6.D6φ: C2×C4/C4C2 ⊆ Out C3×Dic348(C3xDic3):9(C2xC4)288,530
(C3×Dic3)⋊10(C2×C4) = C3×Dic34D4φ: C2×C4/C4C2 ⊆ Out C3×Dic348(C3xDic3):10(C2xC4)288,652
(C3×Dic3)⋊11(C2×C4) = C12×C3⋊D4φ: C2×C4/C4C2 ⊆ Out C3×Dic348(C3xDic3):11(C2xC4)288,699
(C3×Dic3)⋊12(C2×C4) = S3×C4⋊Dic3φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3):12(C2xC4)288,537
(C3×Dic3)⋊13(C2×C4) = C2×Dic3⋊Dic3φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3):13(C2xC4)288,613
(C3×Dic3)⋊14(C2×C4) = C4×S3×Dic3φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3):14(C2xC4)288,523
(C3×Dic3)⋊15(C2×C4) = C2×Dic32φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3):15(C2xC4)288,602
(C3×Dic3)⋊16(C2×C4) = C3×S3×C4⋊C4φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3):16(C2xC4)288,662
(C3×Dic3)⋊17(C2×C4) = C6×Dic3⋊C4φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3):17(C2xC4)288,694
(C3×Dic3)⋊18(C2×C4) = S3×C4×C12φ: trivial image96(C3xDic3):18(C2xC4)288,642

Non-split extensions G=N.Q with N=C3×Dic3 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C3×Dic3).1(C2×C4) = S3×C8⋊S3φ: C2×C4/C2C22 ⊆ Out C3×Dic3484(C3xDic3).1(C2xC4)288,438
(C3×Dic3).2(C2×C4) = C24⋊D6φ: C2×C4/C2C22 ⊆ Out C3×Dic3484(C3xDic3).2(C2xC4)288,439
(C3×Dic3).3(C2×C4) = C24.D6φ: C2×C4/C2C22 ⊆ Out C3×Dic3484(C3xDic3).3(C2xC4)288,453
(C3×Dic3).4(C2×C4) = D12.2Dic3φ: C2×C4/C2C22 ⊆ Out C3×Dic3484(C3xDic3).4(C2xC4)288,462
(C3×Dic3).5(C2×C4) = D12.Dic3φ: C2×C4/C2C22 ⊆ Out C3×Dic3484(C3xDic3).5(C2xC4)288,463
(C3×Dic3).6(C2×C4) = C62.6C23φ: C2×C4/C2C22 ⊆ Out C3×Dic348(C3xDic3).6(C2xC4)288,484
(C3×Dic3).7(C2×C4) = C62.8C23φ: C2×C4/C2C22 ⊆ Out C3×Dic396(C3xDic3).7(C2xC4)288,486
(C3×Dic3).8(C2×C4) = Dic3×Dic6φ: C2×C4/C2C22 ⊆ Out C3×Dic396(C3xDic3).8(C2xC4)288,490
(C3×Dic3).9(C2×C4) = C62.13C23φ: C2×C4/C2C22 ⊆ Out C3×Dic396(C3xDic3).9(C2xC4)288,491
(C3×Dic3).10(C2×C4) = C62.48C23φ: C2×C4/C2C22 ⊆ Out C3×Dic396(C3xDic3).10(C2xC4)288,526
(C3×Dic3).11(C2×C4) = C24.63D6φ: C2×C4/C4C2 ⊆ Out C3×Dic3484(C3xDic3).11(C2xC4)288,451
(C3×Dic3).12(C2×C4) = C24.64D6φ: C2×C4/C4C2 ⊆ Out C3×Dic3484(C3xDic3).12(C2xC4)288,452
(C3×Dic3).13(C2×C4) = Dic35Dic6φ: C2×C4/C4C2 ⊆ Out C3×Dic396(C3xDic3).13(C2xC4)288,485
(C3×Dic3).14(C2×C4) = C4×C322Q8φ: C2×C4/C4C2 ⊆ Out C3×Dic396(C3xDic3).14(C2xC4)288,565
(C3×Dic3).15(C2×C4) = S32×C8φ: C2×C4/C4C2 ⊆ Out C3×Dic3484(C3xDic3).15(C2xC4)288,437
(C3×Dic3).16(C2×C4) = C62.47C23φ: C2×C4/C4C2 ⊆ Out C3×Dic396(C3xDic3).16(C2xC4)288,525
(C3×Dic3).17(C2×C4) = C12×Dic6φ: C2×C4/C4C2 ⊆ Out C3×Dic396(C3xDic3).17(C2xC4)288,639
(C3×Dic3).18(C2×C4) = C3×Dic6⋊C4φ: C2×C4/C4C2 ⊆ Out C3×Dic396(C3xDic3).18(C2xC4)288,658
(C3×Dic3).19(C2×C4) = C3×C8○D12φ: C2×C4/C4C2 ⊆ Out C3×Dic3482(C3xDic3).19(C2xC4)288,672
(C3×Dic3).20(C2×C4) = C3×D12.C4φ: C2×C4/C4C2 ⊆ Out C3×Dic3484(C3xDic3).20(C2xC4)288,678
(C3×Dic3).21(C2×C4) = S3×C4.Dic3φ: C2×C4/C22C2 ⊆ Out C3×Dic3484(C3xDic3).21(C2xC4)288,461
(C3×Dic3).22(C2×C4) = C2×D6.Dic3φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3).22(C2xC4)288,467
(C3×Dic3).23(C2×C4) = C62.25C23φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3).23(C2xC4)288,503
(C3×Dic3).24(C2×C4) = C2×S3×C3⋊C8φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3).24(C2xC4)288,460
(C3×Dic3).25(C2×C4) = C62.11C23φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3).25(C2xC4)288,489
(C3×Dic3).26(C2×C4) = C62.97C23φ: C2×C4/C22C2 ⊆ Out C3×Dic348(C3xDic3).26(C2xC4)288,603
(C3×Dic3).27(C2×C4) = C3×C422S3φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3).27(C2xC4)288,643
(C3×Dic3).28(C2×C4) = C6×C8⋊S3φ: C2×C4/C22C2 ⊆ Out C3×Dic396(C3xDic3).28(C2xC4)288,671
(C3×Dic3).29(C2×C4) = C3×C23.16D6φ: trivial image48(C3xDic3).29(C2xC4)288,648
(C3×Dic3).30(C2×C4) = C3×C4⋊C47S3φ: trivial image96(C3xDic3).30(C2xC4)288,663
(C3×Dic3).31(C2×C4) = S3×C2×C24φ: trivial image96(C3xDic3).31(C2xC4)288,670
(C3×Dic3).32(C2×C4) = C3×S3×M4(2)φ: trivial image484(C3xDic3).32(C2xC4)288,677

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