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Extensions 1→N→G→Q→1 with N=C32 and Q=S3xC2xC4

Direct product G=NxQ with N=C32 and Q=S3xC2xC4
dρLabelID
S3xC6xC12144S3xC6xC12432,701

Semidirect products G=N:Q with N=C32 and Q=S3xC2xC4
extensionφ:Q→Aut NdρLabelID
C32:1(S3xC2xC4) = C4xC32:D6φ: S3xC2xC4/C4 → D6 ⊆ Aut C32366C3^2:1(S3xC2xC4)432,300
C32:2(S3xC2xC4) = C2xC6.S32φ: S3xC2xC4/C22 → D6 ⊆ Aut C3272C3^2:2(S3xC2xC4)432,317
C32:3(S3xC2xC4) = C2xHe3:(C2xC4)φ: S3xC2xC4/C22 → D6 ⊆ Aut C3272C3^2:3(S3xC2xC4)432,321
C32:4(S3xC2xC4) = C2xC4xC32:C6φ: S3xC2xC4/C2xC4 → S3 ⊆ Aut C3272C3^2:4(S3xC2xC4)432,349
C32:5(S3xC2xC4) = C2xC4xHe3:C2φ: S3xC2xC4/C2xC4 → S3 ⊆ Aut C3272C3^2:5(S3xC2xC4)432,385
C32:6(S3xC2xC4) = S3xC6.D6φ: S3xC2xC4/Dic3 → C22 ⊆ Aut C32248+C3^2:6(S3xC2xC4)432,595
C32:7(S3xC2xC4) = Dic3:6S32φ: S3xC2xC4/Dic3 → C22 ⊆ Aut C32488-C3^2:7(S3xC2xC4)432,596
C32:8(S3xC2xC4) = C4xS3xC3:S3φ: S3xC2xC4/C12 → C22 ⊆ Aut C3272C3^2:8(S3xC2xC4)432,670
C32:9(S3xC2xC4) = C4xC32:4D6φ: S3xC2xC4/C12 → C22 ⊆ Aut C32484C3^2:9(S3xC2xC4)432,690
C32:10(S3xC2xC4) = C2xS3xC32:C4φ: S3xC2xC4/D6 → C4 ⊆ Aut C32248+C3^2:10(S3xC2xC4)432,753
C32:11(S3xC2xC4) = S32xDic3φ: S3xC2xC4/D6 → C22 ⊆ Aut C32488-C3^2:11(S3xC2xC4)432,594
C32:12(S3xC2xC4) = C2xDic3xC3:S3φ: S3xC2xC4/C2xC6 → C22 ⊆ Aut C32144C3^2:12(S3xC2xC4)432,677
C32:13(S3xC2xC4) = C2xC33:8(C2xC4)φ: S3xC2xC4/C2xC6 → C22 ⊆ Aut C3272C3^2:13(S3xC2xC4)432,679
C32:14(S3xC2xC4) = C2xC33:9(C2xC4)φ: S3xC2xC4/C2xC6 → C22 ⊆ Aut C3248C3^2:14(S3xC2xC4)432,692
C32:15(S3xC2xC4) = S32xC12φ: S3xC2xC4/C4xS3 → C2 ⊆ Aut C32484C3^2:15(S3xC2xC4)432,648
C32:16(S3xC2xC4) = C6xC6.D6φ: S3xC2xC4/C2xDic3 → C2 ⊆ Aut C3248C3^2:16(S3xC2xC4)432,654
C32:17(S3xC2xC4) = C3:S3xC2xC12φ: S3xC2xC4/C2xC12 → C2 ⊆ Aut C32144C3^2:17(S3xC2xC4)432,711
C32:18(S3xC2xC4) = C2xC4xC33:C2φ: S3xC2xC4/C2xC12 → C2 ⊆ Aut C32216C3^2:18(S3xC2xC4)432,721
C32:19(S3xC2xC4) = S3xC6xDic3φ: S3xC2xC4/C22xS3 → C2 ⊆ Aut C3248C3^2:19(S3xC2xC4)432,651
C32:20(S3xC2xC4) = C2xS3xC3:Dic3φ: S3xC2xC4/C22xS3 → C2 ⊆ Aut C32144C3^2:20(S3xC2xC4)432,674

Non-split extensions G=N.Q with N=C32 and Q=S3xC2xC4
extensionφ:Q→Aut NdρLabelID
C32.(S3xC2xC4) = C2xC4xC9:C6φ: S3xC2xC4/C2xC4 → S3 ⊆ Aut C3272C3^2.(S3xC2xC4)432,353
C32.2(S3xC2xC4) = C4xS3xD9φ: S3xC2xC4/C12 → C22 ⊆ Aut C32724C3^2.2(S3xC2xC4)432,290
C32.3(S3xC2xC4) = C2xDic3xD9φ: S3xC2xC4/C2xC6 → C22 ⊆ Aut C32144C3^2.3(S3xC2xC4)432,304
C32.4(S3xC2xC4) = C2xC18.D6φ: S3xC2xC4/C2xC6 → C22 ⊆ Aut C3272C3^2.4(S3xC2xC4)432,306
C32.5(S3xC2xC4) = D9xC2xC12φ: S3xC2xC4/C2xC12 → C2 ⊆ Aut C32144C3^2.5(S3xC2xC4)432,342
C32.6(S3xC2xC4) = C2xC4xC9:S3φ: S3xC2xC4/C2xC12 → C2 ⊆ Aut C32216C3^2.6(S3xC2xC4)432,381

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