Extensions 1→N→G→Q→1 with N=C₄○D₂₄ and Q=C₂

Direct product G=N×Q with N=C₄○D₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄○D₂₄		96		C2xC4oD24	192,1300

Semidirect products G=N:Q with N=C₄○D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₄⋊₁C₂ = D₄₈⋊₇C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	2	C4oD24:1C2	192,463
C₄○D₂₄⋊₂C₂ = D₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24:2C2	192,706
C₄○D₂₄⋊₃C₂ = D₈⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24:3C2	192,1316
C₄○D₂₄⋊₄C₂ = D₁₂.₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	4	C4oD24:4C2	192,1325
C₄○D₂₄⋊₅C₂ = Q₁₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	4	C4oD24:5C2	192,753
C₄○D₂₄⋊₆C₂ = S₃×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24:6C2	192,1326
C₄○D₂₄⋊₇C₂ = SD₁₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24:7C2	192,1327
C₄○D₂₄⋊₈C₂ = SD₁₆⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24:8C2	192,1321
C₄○D₂₄⋊₉C₂ = C₁₆⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4+	C4oD24:9C2	192,467
C₄○D₂₄⋊₁₀C₂ = C₂₄.₉C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24:10C2	192,1307
C₄○D₂₄⋊₁₁C₂ = D₄.₁₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24:11C2	192,1310
C₄○D₂₄⋊₁₂C₂ = D₄.₁₂D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4+	C4oD24:12C2	192,1311
C₄○D₂₄⋊₁₃C₂ = D₄.₁₃D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	4-	C4oD24:13C2	192,1312

Non-split extensions G=N.Q with N=C₄○D₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₂₄.₁C₂ = D₂₄.₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	2	C4oD24.1C2	192,69
C₄○D₂₄.₂C₂ = C₂₄.₂₇C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	4	C4oD24.2C2	192,738
C₄○D₂₄.₃C₂ = Dic₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	4	C4oD24.3C2	192,56
C₄○D₂₄.₄C₂ = D₂₄⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24.4C2	192,453
C₄○D₂₄.₅C₂ = D₂₄⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24.5C2	192,454
C₄○D₂₄.₆C₂ = D₂₄⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24.6C2	192,47
C₄○D₂₄.₇C₂ = D₂₄⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24.7C2	192,77
C₄○D₂₄.₈C₂ = D₂₄⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	48	4	C4oD24.8C2	192,276
C₄○D₂₄.₉C₂ = C₁₆.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₂₄	96	4-	C4oD24.9C2	192,468
C₄○D₂₄.₁₀C₂ = D₂₄⋊₁₁C₄	φ: trivial image	48	2	C4oD24.10C2	192,259

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