Extensions 1→N→G→Q→1 with N=C3 and Q=C2×S3≀C2

Direct product G=N×Q with N=C3 and Q=C2×S3≀C2
dρLabelID
C6×S3≀C2244C6xS3wrC2432,754

Semidirect products G=N:Q with N=C3 and Q=C2×S3≀C2
extensionφ:Q→Aut NdρLabelID
C31(C2×S3≀C2) = S3×S3≀C2φ: C2×S3≀C2/S3≀C2C2 ⊆ Aut C3128+C3:1(C2xS3wrC2)432,741
C32(C2×S3≀C2) = C2×C322D12φ: C2×S3≀C2/C2×C32⋊C4C2 ⊆ Aut C3248+C3:2(C2xS3wrC2)432,756
C33(C2×S3≀C2) = C2×C33⋊D4φ: C2×S3≀C2/C2×S32C2 ⊆ Aut C3244C3:3(C2xS3wrC2)432,755

Non-split extensions G=N.Q with N=C3 and Q=C2×S3≀C2
extensionφ:Q→Aut NdρLabelID
C3.(C2×S3≀C2) = C2×He3⋊D4φ: C2×S3≀C2/C2×C32⋊C4C2 ⊆ Aut C3366+C3.(C2xS3wrC2)432,530

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