Extensions 1→N→G→Q→1 with N=D₂₄ and Q=C₂

Direct product G=N×Q with N=D₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₂₄		48		C2xD24	96,110

Semidirect products G=N:Q with N=D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄⋊₁C₂ = D₄₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	48	2+	D24:1C2	96,6
D₂₄⋊₂C₂ = C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	24	4+	D24:2C2	96,115
D₂₄⋊₃C₂ = C₃⋊D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	48	4+	D24:3C2	96,33
D₂₄⋊₄C₂ = S₃×D₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	24	4+	D24:4C2	96,117
D₂₄⋊₅C₂ = D₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	48	4+	D24:5C2	96,126
D₂₄⋊₆C₂ = Q₈⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	24	4+	D24:6C2	96,121
D₂₄⋊₇C₂ = C₄○D₂₄	φ: trivial image	48	2	D24:7C2	96,111

Non-split extensions G=N.Q with N=D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄.₁C₂ = C₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	48	2	D24.1C2	96,7
D₂₄.₂C₂ = C₈.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₄	48	4+	D24.2C2	96,35

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