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Extensions 1→N→G→Q→1 with N=C32 and Q=S3xD4

Direct product G=NxQ with N=C32 and Q=S3xD4
dρLabelID
S3xD4xC3272S3xD4xC3^2432,704

Semidirect products G=N:Q with N=C32 and Q=S3xD4
extensionφ:Q→Aut NdρLabelID
C32:1(S3xD4) = C3:S3:D12φ: S3xD4/C4 → D6 ⊆ Aut C323612+C3^2:1(S3xD4)432,301
C32:2(S3xD4) = C12.86S32φ: S3xD4/C4 → D6 ⊆ Aut C32366+C3^2:2(S3xD4)432,302
C32:3(S3xD4) = C62:D6φ: S3xD4/C22 → D6 ⊆ Aut C323612+C3^2:3(S3xD4)432,323
C32:4(S3xD4) = C62:2D6φ: S3xD4/C22 → D6 ⊆ Aut C32366C3^2:4(S3xD4)432,324
C32:5(S3xD4) = S3xS3wrC2φ: S3xD4/S3 → D4 ⊆ Aut C32128+C3^2:5(S3xD4)432,741
C32:6(S3xD4) = D4xC32:C6φ: S3xD4/D4 → S3 ⊆ Aut C323612+C3^2:6(S3xD4)432,360
C32:7(S3xD4) = D4xHe3:C2φ: S3xD4/D4 → S3 ⊆ Aut C32366C3^2:7(S3xD4)432,390
C32:8(S3xD4) = (S3xC6):D6φ: S3xD4/Dic3 → C22 ⊆ Aut C32248+C3^2:8(S3xD4)432,601
C32:9(S3xD4) = C3:S3:4D12φ: S3xD4/Dic3 → C22 ⊆ Aut C32248+C3^2:9(S3xD4)432,602
C32:10(S3xD4) = C3:S3xD12φ: S3xD4/C12 → C22 ⊆ Aut C3272C3^2:10(S3xD4)432,672
C32:11(S3xD4) = C12:S32φ: S3xD4/C12 → C22 ⊆ Aut C3272C3^2:11(S3xD4)432,673
C32:12(S3xD4) = C12:3S32φ: S3xD4/C12 → C22 ⊆ Aut C32484C3^2:12(S3xD4)432,691
C32:13(S3xD4) = S3xD6:S3φ: S3xD4/D6 → C22 ⊆ Aut C32488-C3^2:13(S3xD4)432,597
C32:14(S3xD4) = S3xC3:D12φ: S3xD4/D6 → C22 ⊆ Aut C32248+C3^2:14(S3xD4)432,598
C32:15(S3xD4) = D6:4S32φ: S3xD4/D6 → C22 ⊆ Aut C32248+C3^2:15(S3xD4)432,599
C32:16(S3xD4) = D6:S32φ: S3xD4/D6 → C22 ⊆ Aut C32488-C3^2:16(S3xD4)432,600
C32:17(S3xD4) = C3:S3xC3:D4φ: S3xD4/C2xC6 → C22 ⊆ Aut C3272C3^2:17(S3xD4)432,685
C32:18(S3xD4) = C62:23D6φ: S3xD4/C2xC6 → C22 ⊆ Aut C3236C3^2:18(S3xD4)432,686
C32:19(S3xD4) = C62:24D6φ: S3xD4/C2xC6 → C22 ⊆ Aut C32244C3^2:19(S3xD4)432,696
C32:20(S3xD4) = C3xS3xD12φ: S3xD4/C4xS3 → C2 ⊆ Aut C32484C3^2:20(S3xD4)432,649
C32:21(S3xD4) = S3xC12:S3φ: S3xD4/C4xS3 → C2 ⊆ Aut C3272C3^2:21(S3xD4)432,671
C32:22(S3xD4) = C3xD6:D6φ: S3xD4/D12 → C2 ⊆ Aut C32484C3^2:22(S3xD4)432,650
C32:23(S3xD4) = C3xDic3:D6φ: S3xD4/C3:D4 → C2 ⊆ Aut C32244C3^2:23(S3xD4)432,659
C32:24(S3xD4) = C3xD4xC3:S3φ: S3xD4/C3xD4 → C2 ⊆ Aut C3272C3^2:24(S3xD4)432,714
C32:25(S3xD4) = D4xC33:C2φ: S3xD4/C3xD4 → C2 ⊆ Aut C32108C3^2:25(S3xD4)432,724
C32:26(S3xD4) = C3xS3xC3:D4φ: S3xD4/C22xS3 → C2 ⊆ Aut C32244C3^2:26(S3xD4)432,658
C32:27(S3xD4) = S3xC32:7D4φ: S3xD4/C22xS3 → C2 ⊆ Aut C3272C3^2:27(S3xD4)432,684

Non-split extensions G=N.Q with N=C32 and Q=S3xD4
extensionφ:Q→Aut NdρLabelID
C32.(S3xD4) = D4xC9:C6φ: S3xD4/D4 → S3 ⊆ Aut C323612+C3^2.(S3xD4)432,362
C32.2(S3xD4) = D9xD12φ: S3xD4/C12 → C22 ⊆ Aut C32724+C3^2.2(S3xD4)432,292
C32.3(S3xD4) = C36:D6φ: S3xD4/C12 → C22 ⊆ Aut C32724C3^2.3(S3xD4)432,293
C32.4(S3xD4) = D9xC3:D4φ: S3xD4/C2xC6 → C22 ⊆ Aut C32724C3^2.4(S3xD4)432,314
C32.5(S3xD4) = D18:D6φ: S3xD4/C2xC6 → C22 ⊆ Aut C32364+C3^2.5(S3xD4)432,315
C32.6(S3xD4) = C3xD4xD9φ: S3xD4/C3xD4 → C2 ⊆ Aut C32724C3^2.6(S3xD4)432,356
C32.7(S3xD4) = D4xC9:S3φ: S3xD4/C3xD4 → C2 ⊆ Aut C32108C3^2.7(S3xD4)432,388

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