Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C24

Direct product G=N×Q with N=C3 and Q=S3×C24
dρLabelID
S3×C23×C696S3xC2^3xC6288,1043

Semidirect products G=N:Q with N=C3 and Q=S3×C24
extensionφ:Q→Aut NdρLabelID
C31(S3×C24) = S32×C23φ: S3×C24/S3×C23C2 ⊆ Aut C348C3:1(S3xC2^4)288,1040
C32(S3×C24) = C24×C3⋊S3φ: S3×C24/C23×C6C2 ⊆ Aut C3144C3:2(S3xC2^4)288,1044

Non-split extensions G=N.Q with N=C3 and Q=S3×C24
extensionφ:Q→Aut NdρLabelID
C3.(S3×C24) = C24×D9φ: S3×C24/C23×C6C2 ⊆ Aut C3144C3.(S3xC2^4)288,839

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