Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂₇⋊C₆

Direct product G=N×Q with N=C₃ and Q=C₂₇⋊C₆

		d	ρ	Label	ID
C₃×C₂₇⋊C₆		54	6	C3xC27:C6	486,113

Semidirect products G=N:Q with N=C₃ and Q=C₂₇⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂₇⋊C₆) = C₃³.₅D₉	φ: C₂₇⋊C₆/C₂₇⋊C₃ → C₂ ⊆ Aut C₃	81		C3:(C27:C6)	486,162

Non-split extensions G=N.Q with N=C₃ and Q=C₂₇⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂₇⋊C₆) = C₃²⋊D₂₇	φ: C₂₇⋊C₆/C₂₇⋊C₃ → C₂ ⊆ Aut C₃	81		C3.(C27:C6)	486,17
C₃.₂(C₂₇⋊C₆) = C₂₇⋊₃C₁₈	central extension (φ=1)	54	6	C3.2(C27:C6)	486,15

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Extensions 1→N→G→Q→1 with N=C3 and Q=C27⋊C6