Extensions 1→N→G→Q→1 with N=C3 and Q=S3xC22xC4

Direct product G=NxQ with N=C3 and Q=S3xC22xC4
dρLabelID
S3xC22xC1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=C3 and Q=S3xC22xC4
extensionφ:Q→Aut NdρLabelID
C3:1(S3xC22xC4) = S32xC2xC4φ: S3xC22xC4/S3xC2xC4C2 ⊆ Aut C348C3:1(S3xC2^2xC4)288,950
C3:2(S3xC22xC4) = C22xC6.D6φ: S3xC22xC4/C22xDic3C2 ⊆ Aut C348C3:2(S3xC2^2xC4)288,972
C3:3(S3xC22xC4) = C22xC4xC3:S3φ: S3xC22xC4/C22xC12C2 ⊆ Aut C3144C3:3(S3xC2^2xC4)288,1004
C3:4(S3xC22xC4) = C22xS3xDic3φ: S3xC22xC4/S3xC23C2 ⊆ Aut C396C3:4(S3xC2^2xC4)288,969

Non-split extensions G=N.Q with N=C3 and Q=S3xC22xC4
extensionφ:Q→Aut NdρLabelID
C3.(S3xC22xC4) = C22xC4xD9φ: S3xC22xC4/C22xC12C2 ⊆ Aut C3144C3.(S3xC2^2xC4)288,353

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