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

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

		d	ρ	Label	ID
D₄×C₆₀		240		D4xC60	480,923

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₅)⋊₁C₄ = D₂₀⋊Dic₃	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	120	8	(D4xC15):1C4	480,312
(D₄×C₁₅)⋊₂C₄ = Dic₁₀⋊Dic₃	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	120	8	(D4xC15):2C4	480,313
(D₄×C₁₅)⋊₃C₄ = D₄×C₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	60	8	(D4xC15):3C4	480,1067
(D₄×C₁₅)⋊₄C₄ = C₃×D₂₀⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	120	8	(D4xC15):4C4	480,287
(D₄×C₁₅)⋊₅C₄ = C₃×D₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	120	8	(D4xC15):5C4	480,288
(D₄×C₁₅)⋊₆C₄ = C₃×D₄×F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	60	8	(D4xC15):6C4	480,1054
(D₄×C₁₅)⋊₇C₄ = D₄⋊Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240		(D4xC15):7C4	480,192
(D₄×C₁₅)⋊₈C₄ = Q₈⋊₃Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15):8C4	480,197
(D₄×C₁₅)⋊₉C₄ = D₄×Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240		(D4xC15):9C4	480,899
(D₄×C₁₅)⋊₁₀C₄ = C₃×D₄⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240		(D4xC15):10C4	480,110
(D₄×C₁₅)⋊₁₁C₄ = C₃×D₄⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15):11C4	480,115
(D₄×C₁₅)⋊₁₂C₄ = C₃×D₄×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240		(D4xC15):12C4	480,727
(D₄×C₁₅)⋊₁₃C₄ = C₅×D₄⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240		(D4xC15):13C4	480,151
(D₄×C₁₅)⋊₁₄C₄ = C₅×Q₈⋊₃Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	120	4	(D4xC15):14C4	480,156
(D₄×C₁₅)⋊₁₅C₄ = C₅×D₄×Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240		(D4xC15):15C4	480,813
(D₄×C₁₅)⋊₁₆C₄ = C₁₅×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240		(D4xC15):16C4	480,205
(D₄×C₁₅)⋊₁₇C₄ = C₁₅×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	120	2	(D4xC15):17C4	480,207

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₅).₁C₄ = Dic₁₀.Dic₃	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	240	8	(D4xC15).1C4	480,1066
(D₄×C₁₅).₂C₄ = C₃×D₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out D₄×C₁₅	240	8	(D4xC15).2C4	480,1053
(D₄×C₁₅).₃C₄ = D₄.Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240	4	(D4xC15).3C4	480,913
(D₄×C₁₅).₄C₄ = C₃×D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240	4	(D4xC15).4C4	480,741
(D₄×C₁₅).₅C₄ = C₅×D₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₅	240	4	(D4xC15).5C4	480,827
(D₄×C₁₅).₆C₄ = C₁₅×C₈○D₄	φ: trivial image	240	2	(D4xC15).6C4	480,936

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