Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C3⋊C8

Direct product G=N×Q with N=C3 and Q=S3×C3⋊C8
dρLabelID
C3×S3×C3⋊C8484C3xS3xC3:C8432,414

Semidirect products G=N:Q with N=C3 and Q=S3×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C31(S3×C3⋊C8) = C3⋊S3×C3⋊C8φ: S3×C3⋊C8/C3×C3⋊C8C2 ⊆ Aut C3144C3:1(S3xC3:C8)432,431
C32(S3×C3⋊C8) = C12.93S32φ: S3×C3⋊C8/C324C8C2 ⊆ Aut C3484C3:2(S3xC3:C8)432,455
C33(S3×C3⋊C8) = S3×C324C8φ: S3×C3⋊C8/S3×C12C2 ⊆ Aut C3144C3:3(S3xC3:C8)432,430

Non-split extensions G=N.Q with N=C3 and Q=S3×C3⋊C8
extensionφ:Q→Aut NdρLabelID
C3.1(S3×C3⋊C8) = D9×C3⋊C8φ: S3×C3⋊C8/C3×C3⋊C8C2 ⊆ Aut C31444C3.1(S3xC3:C8)432,58
C3.2(S3×C3⋊C8) = C32⋊C6⋊C8φ: S3×C3⋊C8/C324C8C2 ⊆ Aut C3726C3.2(S3xC3:C8)432,76
C3.3(S3×C3⋊C8) = S3×C9⋊C8φ: S3×C3⋊C8/S3×C12C2 ⊆ Aut C31444C3.3(S3xC3:C8)432,66

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