Extensions 1→N→G→Q→1 with N=C32 and Q=C2×D12

Direct product G=N×Q with N=C32 and Q=C2×D12
dρLabelID
C3×C6×D12144C3xC6xD12432,702

Semidirect products G=N:Q with N=C32 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C321(C2×D12) = C3⋊S3⋊D12φ: C2×D12/C4D6 ⊆ Aut C323612+C3^2:1(C2xD12)432,301
C322(C2×D12) = C2×He33D4φ: C2×D12/C22D6 ⊆ Aut C3272C3^2:2(C2xD12)432,322
C323(C2×D12) = C2×C322D12φ: C2×D12/C6D4 ⊆ Aut C32248+C3^2:3(C2xD12)432,756
C324(C2×D12) = C2×He34D4φ: C2×D12/C2×C4S3 ⊆ Aut C3272C3^2:4(C2xD12)432,350
C325(C2×D12) = C2×He35D4φ: C2×D12/C2×C4S3 ⊆ Aut C3272C3^2:5(C2xD12)432,386
C326(C2×D12) = S3×C12⋊S3φ: C2×D12/C12C22 ⊆ Aut C3272C3^2:6(C2xD12)432,671
C327(C2×D12) = C123S32φ: C2×D12/C12C22 ⊆ Aut C32484C3^2:7(C2xD12)432,691
C328(C2×D12) = S3×C3⋊D12φ: C2×D12/D6C22 ⊆ Aut C32248+C3^2:8(C2xD12)432,598
C329(C2×D12) = C3⋊S34D12φ: C2×D12/D6C22 ⊆ Aut C32248+C3^2:9(C2xD12)432,602
C3210(C2×D12) = C2×C338D4φ: C2×D12/C2×C6C22 ⊆ Aut C3272C3^2:10(C2xD12)432,682
C3211(C2×D12) = C2×C339D4φ: C2×D12/C2×C6C22 ⊆ Aut C3248C3^2:11(C2xD12)432,694
C3212(C2×D12) = C3×S3×D12φ: C2×D12/D12C2 ⊆ Aut C32484C3^2:12(C2xD12)432,649
C3213(C2×D12) = C3⋊S3×D12φ: C2×D12/D12C2 ⊆ Aut C3272C3^2:13(C2xD12)432,672
C3214(C2×D12) = C6×C12⋊S3φ: C2×D12/C2×C12C2 ⊆ Aut C32144C3^2:14(C2xD12)432,712
C3215(C2×D12) = C2×C3312D4φ: C2×D12/C2×C12C2 ⊆ Aut C32216C3^2:15(C2xD12)432,722
C3216(C2×D12) = C6×C3⋊D12φ: C2×D12/C22×S3C2 ⊆ Aut C3248C3^2:16(C2xD12)432,656
C3217(C2×D12) = C2×C337D4φ: C2×D12/C22×S3C2 ⊆ Aut C3272C3^2:17(C2xD12)432,681

Non-split extensions G=N.Q with N=C32 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C32.(C2×D12) = C2×D36⋊C3φ: C2×D12/C2×C4S3 ⊆ Aut C3272C3^2.(C2xD12)432,354
C32.2(C2×D12) = S3×D36φ: C2×D12/C12C22 ⊆ Aut C32724+C3^2.2(C2xD12)432,291
C32.3(C2×D12) = C2×C3⋊D36φ: C2×D12/C2×C6C22 ⊆ Aut C3272C3^2.3(C2xD12)432,307
C32.4(C2×D12) = C6×D36φ: C2×D12/C2×C12C2 ⊆ Aut C32144C3^2.4(C2xD12)432,343
C32.5(C2×D12) = C2×C36⋊S3φ: C2×D12/C2×C12C2 ⊆ Aut C32216C3^2.5(C2xD12)432,382

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