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

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

		d	ρ	Label	ID
C₂×D₂₄⋊C₂		96		C2xD24:C2	192,1324

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄⋊C₂⋊₁C₂ = D₂₄⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	48	8+	D24:C2:1C2	192,1336
D₂₄⋊C₂⋊₂C₂ = C₂₄.C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	48	8+	D24:C2:2C2	192,1337
D₂₄⋊C₂⋊₃C₂ = D₄₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	48	4+	D24:C2:3C2	192,473
D₂₄⋊C₂⋊₄C₂ = D₆.₂D₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	96	4	D24:C2:4C2	192,475
D₂₄⋊C₂⋊₅C₂ = D₄₈⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	96	4+	D24:C2:5C2	192,478
D₂₄⋊C₂⋊₆C₂ = D₁₂.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	96	4	D24:C2:6C2	192,1325
D₂₄⋊C₂⋊₇C₂ = D₈⋊₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	48	4+	D24:C2:7C2	192,1328
D₂₄⋊C₂⋊₈C₂ = S₃×C₄○D₈	φ: trivial image	48	4	D24:C2:8C2	192,1326

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₂₄⋊C₂.C₂ = Q₃₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₂₄⋊C₂	96	4	D24:C2.C2	192,477

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