Extensions 1→N→G→Q→1 with N=D₁₂₄ and Q=C₂

Direct product G=N×Q with N=D₁₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₂₄		248		C2xD124	496,29

Semidirect products G=N:Q with N=D₁₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂₄⋊₁C₂ = D₂₄₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₄	248	2+	D124:1C2	496,6
D₁₂₄⋊₂C₂ = D₄⋊D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₄	248	4+	D124:2C2	496,14
D₁₂₄⋊₃C₂ = D₄×D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₄	124	4+	D124:3C2	496,31
D₁₂₄⋊₄C₂ = Q₈⋊₂D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₄	248	4+	D124:4C2	496,34
D₁₂₄⋊₅C₂ = D₁₂₄⋊₅C₂	φ: trivial image	248	2	D124:5C2	496,30

Non-split extensions G=N.Q with N=D₁₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₂₄.₁C₂ = C₂₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₄	248	2	D124.1C2	496,5
D₁₂₄.₂C₂ = Q₈⋊D₃₁	φ: C₂/C₁ → C₂ ⊆ Out D₁₂₄	248	4+	D124.2C2	496,16

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