Extensions 1→N→G→Q→1 with N=He3.C3 and Q=S3

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

Semidirect products G=N:Q with N=He3.C3 and Q=S3
extensionφ:Q→Out NdρLabelID
He3.C31S3 = He3.(C3⋊S3)φ: S3/C3C2 ⊆ Out He3.C381He3.C3:1S3486,186
He3.C32S3 = C3≀C3⋊S3φ: S3/C3C2 ⊆ Out He3.C3276+He3.C3:2S3486,189
He3.C33S3 = C324D9⋊C3φ: S3/C3C2 ⊆ Out He3.C381He3.C3:3S3486,170
He3.C34S3 = C3≀C3.S3φ: S3/C3C2 ⊆ Out He3.C3276+He3.C3:4S3486,175
He3.C35S3 = He3.C3⋊S3φ: S3/C3C2 ⊆ Out He3.C3546He3.C3:5S3486,169


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