Extensions 1→N→G→Q→1 with N=C6 and Q=C9:S3

Direct product G=NxQ with N=C6 and Q=C9:S3
dρLabelID
C6xC9:S3108C6xC9:S3324,142

Semidirect products G=N:Q with N=C6 and Q=C9:S3
extensionφ:Q→Aut NdρLabelID
C6:(C9:S3) = C2xC32:4D9φ: C9:S3/C3xC9C2 ⊆ Aut C6162C6:(C9:S3)324,149

Non-split extensions G=N.Q with N=C6 and Q=C9:S3
extensionφ:Q→Aut NdρLabelID
C6.1(C9:S3) = C9:Dic9φ: C9:S3/C3xC9C2 ⊆ Aut C6324C6.1(C9:S3)324,19
C6.2(C9:S3) = C27:Dic3φ: C9:S3/C3xC9C2 ⊆ Aut C6324C6.2(C9:S3)324,21
C6.3(C9:S3) = C2xC9:D9φ: C9:S3/C3xC9C2 ⊆ Aut C6162C6.3(C9:S3)324,74
C6.4(C9:S3) = C2xC27:S3φ: C9:S3/C3xC9C2 ⊆ Aut C6162C6.4(C9:S3)324,76
C6.5(C9:S3) = C32:5Dic9φ: C9:S3/C3xC9C2 ⊆ Aut C6324C6.5(C9:S3)324,103
C6.6(C9:S3) = C32:2Dic9central extension (φ=1)366C6.6(C9:S3)324,20
C6.7(C9:S3) = C2xC32:2D9central extension (φ=1)366C6.7(C9:S3)324,75
C6.8(C9:S3) = C3xC9:Dic3central extension (φ=1)108C6.8(C9:S3)324,96

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