Extensions 1→N→G→Q→1 with N=C₂₇⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂₇⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₇⋊C₈		432		C2xC27:C8	432,9

Semidirect products G=N:Q with N=C₂₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊C₈⋊₁C₂ = D₄.D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₇⋊C₈	216	4-	C27:C8:1C2	432,15
C₂₇⋊C₈⋊₂C₂ = D₄⋊D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₇⋊C₈	216	4+	C27:C8:2C2	432,16
C₂₇⋊C₈⋊₃C₂ = Q₈⋊₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₇⋊C₈	216	4+	C27:C8:3C2	432,18
C₂₇⋊C₈⋊₄C₂ = C₈⋊D₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₇⋊C₈	216	2	C27:C8:4C2	432,6
C₂₇⋊C₈⋊₅C₂ = C₄.Dic₂₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₇⋊C₈	216	2	C27:C8:5C2	432,10
C₂₇⋊C₈⋊₆C₂ = C₈×D₂₇	φ: trivial image	216	2	C27:C8:6C2	432,5

Non-split extensions G=N.Q with N=C₂₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₇⋊C₈.C₂ = C₂₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₇⋊C₈	432	4-	C27:C8.C2	432,17

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