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Cn
Dn
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Degree
Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=He3.C3 and Q=S3

Direct product G=NxQ with N=He3.C3 and Q=S3
dρLabelID
S3xHe3.C3546S3xHe3.C3486,120

Semidirect products G=N:Q with N=He3.C3 and Q=S3
extensionφ:Q→Out NdρLabelID
He3.C3:1S3 = He3.(C3:S3)φ: S3/C3 → C2 ⊆ Out He3.C381He3.C3:1S3486,186
He3.C3:2S3 = C3wrC3:S3φ: S3/C3 → C2 ⊆ Out He3.C3276+He3.C3:2S3486,189
He3.C3:3S3 = C32:4D9:C3φ: S3/C3 → C2 ⊆ Out He3.C381He3.C3:3S3486,170
He3.C3:4S3 = C3wrC3.S3φ: S3/C3 → C2 ⊆ Out He3.C3276+He3.C3:4S3486,175
He3.C3:5S3 = He3.C3:S3φ: S3/C3 → C2 ⊆ Out He3.C3546He3.C3:5S3486,169


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