Extensions 1→N→G→Q→1 with N=C27:C3 and Q=S3

Direct product G=NxQ with N=C27:C3 and Q=S3
dρLabelID
S3xC27:C3546S3xC27:C3486,114

Semidirect products G=N:Q with N=C27:C3 and Q=S3
extensionφ:Q→Out NdρLabelID
C27:C3:1S3 = C33.D9φ: S3/C1S3 ⊆ Out C27:C3276+C27:C3:1S3486,55
C27:C3:2S3 = He3.3D9φ: S3/C1S3 ⊆ Out C27:C3816+C27:C3:2S3486,58
C27:C3:3S3 = He3.4D9φ: S3/C1S3 ⊆ Out C27:C3816+C27:C3:3S3486,59
C27:C3:4S3 = C33.5D9φ: S3/C3C2 ⊆ Out C27:C381C27:C3:4S3486,162
C27:C3:5S3 = He3.5D9φ: S3/C3C2 ⊆ Out C27:C3816+C27:C3:5S3486,163


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