Extensions 1→N→G→Q→1 with N=C₂₇ and Q=C₂×C₆

Direct product G=N×Q with N=C₂₇ and Q=C₂×C₆

		d	ρ	Label	ID
C₆×C₅₄		324		C6xC54	324,84

Semidirect products G=N:Q with N=C₂₇ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊(C₂×C₆) = C₂×C₂₇⋊C₆	φ: C₂×C₆/C₂ → C₆ ⊆ Aut C₂₇	54	6+	C27:(C2xC6)	324,67
C₂₇⋊₂(C₂×C₆) = C₂²×C₂₇⋊C₃	φ: C₂×C₆/C₂² → C₃ ⊆ Aut C₂₇	108		C27:2(C2xC6)	324,85
C₂₇⋊₃(C₂×C₆) = C₆×D₂₇	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₂₇	108	2	C27:3(C2xC6)	324,65

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