Extensions 1→N→G→Q→1 with N=C₈ and Q=D₂₇

Direct product G=N×Q with N=C₈ and Q=D₂₇

		d	ρ	Label	ID
C₈×D₂₇		216	2	C8xD27	432,5

Semidirect products G=N:Q with N=C₈ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁D₂₇ = D₂₁₆	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₈	216	2+	C8:1D27	432,8
C₈⋊₂D₂₇ = C₂₁₆⋊C₂	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:2D27	432,7
C₈⋊₃D₂₇ = C₈⋊D₂₇	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:3D27	432,6

Non-split extensions G=N.Q with N=C₈ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.D₂₇ = Dic₁₀₈	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₈	432	2-	C8.D27	432,4
C₈.₂D₂₇ = C₂₇⋊C₁₆	central extension (φ=1)	432	2	C8.2D27	432,1

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Extensions 1→N→G→Q→1 with N=C8 and Q=D27