Extensions 1→N→G→Q→1 with N=D₇₆ and Q=C₂

Direct product G=N×Q with N=D₇₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₇₆		152		C2xD76	304,29

Semidirect products G=N:Q with N=D₇₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₆⋊₁C₂ = D₁₅₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₆	152	2+	D76:1C2	304,6
D₇₆⋊₂C₂ = D₄⋊D₁₉	φ: C₂/C₁ → C₂ ⊆ Out D₇₆	152	4+	D76:2C2	304,14
D₇₆⋊₃C₂ = D₄×D₁₉	φ: C₂/C₁ → C₂ ⊆ Out D₇₆	76	4+	D76:3C2	304,31
D₇₆⋊₄C₂ = D₇₆⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₆	152	4+	D76:4C2	304,34
D₇₆⋊₅C₂ = D₇₆⋊₅C₂	φ: trivial image	152	2	D76:5C2	304,30

Non-split extensions G=N.Q with N=D₇₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₇₆.₁C₂ = C₁₅₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇₆	152	2	D76.1C2	304,5
D₇₆.₂C₂ = Q₈⋊D₁₉	φ: C₂/C₁ → C₂ ⊆ Out D₇₆	152	4+	D76.2C2	304,16

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