Extensions 1→N→G→Q→1 with N=D₁₁₄ and Q=C₂

Direct product G=N×Q with N=D₁₁₄ and Q=C₂

		d	ρ	Label	ID
C₂²×D₅₇		228		C2^2xD57	456,53

Semidirect products G=N:Q with N=D₁₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₄⋊₁C₂ = D₂₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₄	228	2+	D114:1C2	456,36
D₁₁₄⋊₂C₂ = C₅₇⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₄	228	2	D114:2C2	456,38
D₁₁₄⋊₃C₂ = C₃⋊D₇₆	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₄	228	4+	D114:3C2	456,16
D₁₁₄⋊₄C₂ = C₁₉⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₄	228	4+	D114:4C2	456,17
D₁₁₄⋊₅C₂ = C₂×S₃×D₁₉	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₄	114	4+	D114:5C2	456,47

Non-split extensions G=N.Q with N=D₁₁₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₁₄.C₂ = D₅₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₁₄	228	4+	D114.C2	456,14
D₁₁₄.₂C₂ = C₄×D₅₇	φ: trivial image	228	2	D114.2C2	456,35

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