Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C2×C8

Direct product G=N×Q with N=C3 and Q=S3×C2×C8
dρLabelID
S3×C2×C2496S3xC2xC24288,670

Semidirect products G=N:Q with N=C3 and Q=S3×C2×C8
extensionφ:Q→Aut NdρLabelID
C31(S3×C2×C8) = S32×C8φ: S3×C2×C8/S3×C8C2 ⊆ Aut C3484C3:1(S3xC2xC8)288,437
C32(S3×C2×C8) = C2×C12.29D6φ: S3×C2×C8/C2×C3⋊C8C2 ⊆ Aut C348C3:2(S3xC2xC8)288,464
C33(S3×C2×C8) = C2×C8×C3⋊S3φ: S3×C2×C8/C2×C24C2 ⊆ Aut C3144C3:3(S3xC2xC8)288,756
C34(S3×C2×C8) = C2×S3×C3⋊C8φ: S3×C2×C8/S3×C2×C4C2 ⊆ Aut C396C3:4(S3xC2xC8)288,460

Non-split extensions G=N.Q with N=C3 and Q=S3×C2×C8
extensionφ:Q→Aut NdρLabelID
C3.(S3×C2×C8) = C2×C8×D9φ: S3×C2×C8/C2×C24C2 ⊆ Aut C3144C3.(S3xC2xC8)288,110

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