Extensions 1→N→G→Q→1 with N=C₁₅×C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₁₅×C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₄○D₄×C₃₀		240		C4oD4xC30	480,1183

Semidirect products G=N:Q with N=C₁₅×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₅×C₄○D₄)⋊₁C₂ = D₄⋊D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4+	(C15xC4oD4):1C2	480,914
(C₁₅×C₄○D₄)⋊₂C₂ = D₄.₈D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4):2C2	480,915
(C₁₅×C₄○D₄)⋊₃C₂ = C₄○D₄×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):3C2	480,1175
(C₁₅×C₄○D₄)⋊₄C₂ = D₄⋊₈D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4+	(C15xC4oD4):4C2	480,1176
(C₁₅×C₄○D₄)⋊₅C₂ = D₄.₁₀D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4-	(C15xC4oD4):5C2	480,1177
(C₁₅×C₄○D₄)⋊₆C₂ = C₃×D₄⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):6C2	480,742
(C₁₅×C₄○D₄)⋊₇C₂ = C₃×D₄.₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4):7C2	480,743
(C₁₅×C₄○D₄)⋊₈C₂ = C₃×D₅×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):8C2	480,1145
(C₁₅×C₄○D₄)⋊₉C₂ = C₃×D₄⋊₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):9C2	480,1146
(C₁₅×C₄○D₄)⋊₁₀C₂ = C₃×D₄.₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4):10C2	480,1147
(C₁₅×C₄○D₄)⋊₁₁C₂ = C₅×D₄⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):11C2	480,828
(C₁₅×C₄○D₄)⋊₁₂C₂ = C₅×Q₈.₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4):12C2	480,829
(C₁₅×C₄○D₄)⋊₁₃C₂ = C₅×S₃×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):13C2	480,1160
(C₁₅×C₄○D₄)⋊₁₄C₂ = C₅×D₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):14C2	480,1161
(C₁₅×C₄○D₄)⋊₁₅C₂ = C₅×Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4):15C2	480,1162
(C₁₅×C₄○D₄)⋊₁₆C₂ = C₁₅×C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	2	(C15xC4oD4):16C2	480,940
(C₁₅×C₄○D₄)⋊₁₇C₂ = C₁₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):17C2	480,941
(C₁₅×C₄○D₄)⋊₁₈C₂ = C₁₅×2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4):18C2	480,1184
(C₁₅×C₄○D₄)⋊₁₉C₂ = C₁₅×2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4):19C2	480,1185

Non-split extensions G=N.Q with N=C₁₅×C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₅×C₄○D₄).₁C₂ = Q₈⋊₃Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4).1C2	480,197
(C₁₅×C₄○D₄).₂C₂ = D₄.Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4).2C2	480,913
(C₁₅×C₄○D₄).₃C₂ = D₄.₉D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4-	(C15xC4oD4).3C2	480,916
(C₁₅×C₄○D₄).₄C₂ = C₃×D₄⋊₂Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4).4C2	480,115
(C₁₅×C₄○D₄).₅C₂ = C₃×D₄.Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4).5C2	480,741
(C₁₅×C₄○D₄).₆C₂ = C₃×D₄.₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4).6C2	480,744
(C₁₅×C₄○D₄).₇C₂ = C₅×Q₈⋊₃Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	4	(C15xC4oD4).7C2	480,156
(C₁₅×C₄○D₄).₈C₂ = C₅×D₄.Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4).8C2	480,827
(C₁₅×C₄○D₄).₉C₂ = C₅×Q₈.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4).9C2	480,830
(C₁₅×C₄○D₄).₁₀C₂ = C₁₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	120	2	(C15xC4oD4).10C2	480,207
(C₁₅×C₄○D₄).₁₁C₂ = C₁₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×C₄○D₄	240	4	(C15xC4oD4).11C2	480,942
(C₁₅×C₄○D₄).₁₂C₂ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C15xC4oD4).12C2	480,936

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