Extensions 1→N→G→Q→1 with N=C₂₇ and Q=C₂×D₄

Direct product G=N×Q with N=C₂₇ and Q=C₂×D₄

		d	ρ	Label	ID
D₄×C₅₄		216		D4xC54	432,54

Semidirect products G=N:Q with N=C₂₇ and Q=C₂×D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊₁(C₂×D₄) = C₂×D₁₀₈	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Aut C₂₇	216		C27:1(C2xD4)	432,45
C₂₇⋊₂(C₂×D₄) = D₄×D₂₇	φ: C₂×D₄/D₄ → C₂ ⊆ Aut C₂₇	108	4+	C27:2(C2xD4)	432,47
C₂₇⋊₃(C₂×D₄) = C₂×C₂₇⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Aut C₂₇	216		C27:3(C2xD4)	432,52

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