Extensions 1→N→G→Q→1 with N=Dic₅₄ and Q=C₂

Direct product G=N×Q with N=Dic₅₄ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅₄		432		C2xDic54	432,43

Semidirect products G=N:Q with N=Dic₅₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₄⋊₁C₂ = C₂₁₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₄	216	2	Dic54:1C2	432,7
Dic₅₄⋊₂C₂ = D₄.D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₄	216	4-	Dic54:2C2	432,15
Dic₅₄⋊₃C₂ = D₄⋊₂D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₄	216	4-	Dic54:3C2	432,48
Dic₅₄⋊₄C₂ = Q₈×D₂₇	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₄	216	4-	Dic54:4C2	432,49
Dic₅₄⋊₅C₂ = D₁₀₈⋊₅C₂	φ: trivial image	216	2	Dic54:5C2	432,46

Non-split extensions G=N.Q with N=Dic₅₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₄.₁C₂ = Dic₁₀₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₄	432	2-	Dic54.1C2	432,4
Dic₅₄.₂C₂ = C₂₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₄	432	4-	Dic54.2C2	432,17

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