Extensions 1→N→G→Q→1 with N=C3 and Q=S3×C22×C4

Direct product G=N×Q with N=C3 and Q=S3×C22×C4
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=C3 and Q=S3×C22×C4
extensionφ:Q→Aut NdρLabelID
C31(S3×C22×C4) = S32×C2×C4φ: S3×C22×C4/S3×C2×C4C2 ⊆ Aut C348C3:1(S3xC2^2xC4)288,950
C32(S3×C22×C4) = C22×C6.D6φ: S3×C22×C4/C22×Dic3C2 ⊆ Aut C348C3:2(S3xC2^2xC4)288,972
C33(S3×C22×C4) = C22×C4×C3⋊S3φ: S3×C22×C4/C22×C12C2 ⊆ Aut C3144C3:3(S3xC2^2xC4)288,1004
C34(S3×C22×C4) = C22×S3×Dic3φ: S3×C22×C4/S3×C23C2 ⊆ Aut C396C3:4(S3xC2^2xC4)288,969

Non-split extensions G=N.Q with N=C3 and Q=S3×C22×C4
extensionφ:Q→Aut NdρLabelID
C3.(S3×C22×C4) = C22×C4×D9φ: S3×C22×C4/C22×C12C2 ⊆ Aut C3144C3.(S3xC2^2xC4)288,353

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