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Extensions 1→N→G→Q→1 with N=C3×D4 and Q=C2×C4

Direct product G=N×Q with N=C3×D4 and Q=C2×C4
dρLabelID
D4×C2×C1296D4xC2xC12192,1404

Semidirect products G=N:Q with N=C3×D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C3×D4)⋊1(C2×C4) = Dic3⋊4D8φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4):1(C2xC4)192,315
(C3×D4)⋊2(C2×C4) = S3×D4⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3×D448(C3xD4):2(C2xC4)192,328
(C3×D4)⋊3(C2×C4) = D4⋊(C4×S3)φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4):3(C2xC4)192,330
(C3×D4)⋊4(C2×C4) = D4⋊S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4):4(C2xC4)192,344
(C3×D4)⋊5(C2×C4) = S3×C4≀C2φ: C2×C4/C2 → C22 ⊆ Out C3×D4244(C3xD4):5(C2xC4)192,379
(C3×D4)⋊6(C2×C4) = Dic3×D8φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4):6(C2xC4)192,708
(C3×D4)⋊7(C2×C4) = D8⋊Dic3φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4):7(C2xC4)192,711
(C3×D4)⋊8(C2×C4) = C4×D4⋊S3φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4):8(C2xC4)192,572
(C3×D4)⋊9(C2×C4) = C42.48D6φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4):9(C2xC4)192,573
(C3×D4)⋊10(C2×C4) = C4×D4⋊2S3φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4):10(C2xC4)192,1095
(C3×D4)⋊11(C2×C4) = C4×S3×D4φ: C2×C4/C4 → C2 ⊆ Out C3×D448(C3xD4):11(C2xC4)192,1103
(C3×D4)⋊12(C2×C4) = C42⋊13D6φ: C2×C4/C4 → C2 ⊆ Out C3×D448(C3xD4):12(C2xC4)192,1104
(C3×D4)⋊13(C2×C4) = C42.108D6φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4):13(C2xC4)192,1105
(C3×D4)⋊14(C2×C4) = C12×D8φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4):14(C2xC4)192,870
(C3×D4)⋊15(C2×C4) = C3×D8⋊C4φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4):15(C2xC4)192,875
(C3×D4)⋊16(C2×C4) = C2×D4⋊Dic3φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4):16(C2xC4)192,773
(C3×D4)⋊17(C2×C4) = C4○D4⋊3Dic3φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4):17(C2xC4)192,791
(C3×D4)⋊18(C2×C4) = C2×Q8⋊3Dic3φ: C2×C4/C22 → C2 ⊆ Out C3×D448(C3xD4):18(C2xC4)192,794
(C3×D4)⋊19(C2×C4) = C2×D4×Dic3φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4):19(C2xC4)192,1354
(C3×D4)⋊20(C2×C4) = C24.49D6φ: C2×C4/C22 → C2 ⊆ Out C3×D448(C3xD4):20(C2xC4)192,1357
(C3×D4)⋊21(C2×C4) = Dic3×C4○D4φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4):21(C2xC4)192,1385
(C3×D4)⋊22(C2×C4) = C6.1442+ 1+4φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4):22(C2xC4)192,1386
(C3×D4)⋊23(C2×C4) = C6×D4⋊C4φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4):23(C2xC4)192,847
(C3×D4)⋊24(C2×C4) = C3×C23.36D4φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4):24(C2xC4)192,850
(C3×D4)⋊25(C2×C4) = C6×C4≀C2φ: C2×C4/C22 → C2 ⊆ Out C3×D448(C3xD4):25(C2xC4)192,853
(C3×D4)⋊26(C2×C4) = C12×C4○D4φ: trivial image96(C3xD4):26(C2xC4)192,1406
(C3×D4)⋊27(C2×C4) = C3×C22.11C24φ: trivial image48(C3xD4):27(C2xC4)192,1407
(C3×D4)⋊28(C2×C4) = C3×C23.33C23φ: trivial image96(C3xD4):28(C2xC4)192,1409

Non-split extensions G=N.Q with N=C3×D4 and Q=C2×C4
extensionφ:Q→Out NdρLabelID
(C3×D4).1(C2×C4) = D4.S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4).1(C2xC4)192,316
(C3×D4).2(C2×C4) = Dic3⋊6SD16φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4).2(C2xC4)192,317
(C3×D4).3(C2×C4) = C4⋊C4⋊19D6φ: C2×C4/C2 → C22 ⊆ Out C3×D448(C3xD4).3(C2xC4)192,329
(C3×D4).4(C2×C4) = D4⋊2S3⋊C4φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4).4(C2xC4)192,331
(C3×D4).5(C2×C4) = C42⋊3D6φ: C2×C4/C2 → C22 ⊆ Out C3×D4484(C3xD4).5(C2xC4)192,380
(C3×D4).6(C2×C4) = M4(2).22D6φ: C2×C4/C2 → C22 ⊆ Out C3×D4484(C3xD4).6(C2xC4)192,382
(C3×D4).7(C2×C4) = C42.196D6φ: C2×C4/C2 → C22 ⊆ Out C3×D4484(C3xD4).7(C2xC4)192,383
(C3×D4).8(C2×C4) = Dic3×SD16φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4).8(C2xC4)192,720
(C3×D4).9(C2×C4) = SD16⋊Dic3φ: C2×C4/C2 → C22 ⊆ Out C3×D496(C3xD4).9(C2xC4)192,723
(C3×D4).10(C2×C4) = D8⋊5Dic3φ: C2×C4/C2 → C22 ⊆ Out C3×D4484(C3xD4).10(C2xC4)192,755
(C3×D4).11(C2×C4) = D8⋊4Dic3φ: C2×C4/C2 → C22 ⊆ Out C3×D4484(C3xD4).11(C2xC4)192,756
(C3×D4).12(C2×C4) = C4×D4.S3φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4).12(C2xC4)192,576
(C3×D4).13(C2×C4) = C42.51D6φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4).13(C2xC4)192,577
(C3×D4).14(C2×C4) = C24.100D4φ: C2×C4/C4 → C2 ⊆ Out C3×D4484(C3xD4).14(C2xC4)192,703
(C3×D4).15(C2×C4) = C24.54D4φ: C2×C4/C4 → C2 ⊆ Out C3×D4484(C3xD4).15(C2xC4)192,704
(C3×D4).16(C2×C4) = S3×C8○D4φ: C2×C4/C4 → C2 ⊆ Out C3×D4484(C3xD4).16(C2xC4)192,1308
(C3×D4).17(C2×C4) = M4(2)⋊28D6φ: C2×C4/C4 → C2 ⊆ Out C3×D4484(C3xD4).17(C2xC4)192,1309
(C3×D4).18(C2×C4) = C12×SD16φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4).18(C2xC4)192,871
(C3×D4).19(C2×C4) = C3×SD16⋊C4φ: C2×C4/C4 → C2 ⊆ Out C3×D496(C3xD4).19(C2xC4)192,873
(C3×D4).20(C2×C4) = C3×C8○D8φ: C2×C4/C4 → C2 ⊆ Out C3×D4482(C3xD4).20(C2xC4)192,876
(C3×D4).21(C2×C4) = C3×C8.26D4φ: C2×C4/C4 → C2 ⊆ Out C3×D4484(C3xD4).21(C2xC4)192,877
(C3×D4).22(C2×C4) = (C6×D4)⋊6C4φ: C2×C4/C22 → C2 ⊆ Out C3×D448(C3xD4).22(C2xC4)192,774
(C3×D4).23(C2×C4) = C4○D4⋊4Dic3φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4).23(C2xC4)192,792
(C3×D4).24(C2×C4) = (C6×D4)⋊9C4φ: C2×C4/C22 → C2 ⊆ Out C3×D4484(C3xD4).24(C2xC4)192,795
(C3×D4).25(C2×C4) = C2×D4.Dic3φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4).25(C2xC4)192,1377
(C3×D4).26(C2×C4) = C12.76C24φ: C2×C4/C22 → C2 ⊆ Out C3×D4484(C3xD4).26(C2xC4)192,1378
(C3×D4).27(C2×C4) = C3×C23.24D4φ: C2×C4/C22 → C2 ⊆ Out C3×D496(C3xD4).27(C2xC4)192,849
(C3×D4).28(C2×C4) = C3×C23.37D4φ: C2×C4/C22 → C2 ⊆ Out C3×D448(C3xD4).28(C2xC4)192,851
(C3×D4).29(C2×C4) = C3×C42⋊C22φ: C2×C4/C22 → C2 ⊆ Out C3×D4484(C3xD4).29(C2xC4)192,854
(C3×D4).30(C2×C4) = C6×C8○D4φ: trivial image96(C3xD4).30(C2xC4)192,1456
(C3×D4).31(C2×C4) = C3×Q8○M4(2)φ: trivial image484(C3xD4).31(C2xC4)192,1457

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