Extensions 1→N→G→Q→1 with N=C3 and Q=S3xHe3

Direct product G=NxQ with N=C3 and Q=S3xHe3
dρLabelID
C3xS3xHe354C3xS3xHe3486,223

Semidirect products G=N:Q with N=C3 and Q=S3xHe3
extensionφ:Q→Aut NdρLabelID
C3:(S3xHe3) = C3:S3xHe3φ: S3xHe3/C3xHe3C2 ⊆ Aut C354C3:(S3xHe3)486,231

Non-split extensions G=N.Q with N=C3 and Q=S3xHe3
extensionφ:Q→Aut NdρLabelID
C3.1(S3xHe3) = D9xHe3φ: S3xHe3/C3xHe3C2 ⊆ Aut C3546C3.1(S3xHe3)486,99
C3.2(S3xHe3) = C34:C6φ: S3xHe3/C3xHe3C2 ⊆ Aut C3186C3.2(S3xHe3)486,102
C3.3(S3xHe3) = D9:He3φ: S3xHe3/C3xHe3C2 ⊆ Aut C3546C3.3(S3xHe3)486,106
C3.4(S3xHe3) = S3xC32:C9central extension (φ=1)54C3.4(S3xHe3)486,95
C3.5(S3xHe3) = S3xC3wrC3central stem extension (φ=1)186C3.5(S3xHe3)486,117
C3.6(S3xHe3) = S3xHe3.C3central stem extension (φ=1)546C3.6(S3xHe3)486,120
C3.7(S3xHe3) = S3xHe3:C3central stem extension (φ=1)546C3.7(S3xHe3)486,123
C3.8(S3xHe3) = S3xC3.He3central stem extension (φ=1)546C3.8(S3xHe3)486,124

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