Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉×C₃⋊S₃

Direct product G=N×Q with N=C₃ and Q=C₉×C₃⋊S₃

		d	ρ	Label	ID
C₃⋊S₃×C₃×C₉		54		C3:S3xC3xC9	486,228

Semidirect products G=N:Q with N=C₃ and Q=C₉×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₉×C₃⋊S₃) = C₉×C₃³⋊C₂	φ: C₉×C₃⋊S₃/C₃²×C₉ → C₂ ⊆ Aut C₃	162		C3:(C9xC3:S3)	486,241

Non-split extensions G=N.Q with N=C₃ and Q=C₉×C₃⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₉×C₃⋊S₃) = C₉×C₉⋊S₃	φ: C₉×C₃⋊S₃/C₃²×C₉ → C₂ ⊆ Aut C₃	54		C3.1(C9xC3:S3)	486,133
C₃.₂(C₉×C₃⋊S₃) = C₃³⋊C₁₈	φ: C₉×C₃⋊S₃/C₃²×C₉ → C₂ ⊆ Aut C₃	54		C3.2(C9xC3:S3)	486,136
C₃.₃(C₉×C₃⋊S₃) = C₉⋊(S₃×C₉)	φ: C₉×C₃⋊S₃/C₃²×C₉ → C₂ ⊆ Aut C₃	54		C3.3(C9xC3:S3)	486,138
C₃.₄(C₉×C₃⋊S₃) = C₉²⋊₃S₃	φ: C₉×C₃⋊S₃/C₃²×C₉ → C₂ ⊆ Aut C₃	54	6	C3.4(C9xC3:S3)	486,139
C₃.₅(C₉×C₃⋊S₃) = C₃⋊S₃×C₂₇	central extension (φ=1)	162		C3.5(C9xC3:S3)	486,161
C₃.₆(C₉×C₃⋊S₃) = C₉×He₃⋊C₂	central stem extension (φ=1)	81		C3.6(C9xC3:S3)	486,143
C₃.₇(C₉×C₃⋊S₃) = He₃.₅C₁₈	central stem extension (φ=1)	81	3	C3.7(C9xC3:S3)	486,164

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