Extensions 1→N→G→Q→1 with N=Q₈×C₁₅ and Q=C₄

Direct product G=N×Q with N=Q₈×C₁₅ and Q=C₄

		d	ρ	Label	ID
Q₈×C₆₀		480		Q8xC60	480,924

Semidirect products G=N:Q with N=Q₈×C₁₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₅)⋊₁C₄ = Dic₁₀⋊₂Dic₃	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	120	8	(Q8xC15):1C4	480,314
(Q₈×C₁₅)⋊₂C₄ = D₂₀⋊₂Dic₃	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	120	8	(Q8xC15):2C4	480,315
(Q₈×C₁₅)⋊₃C₄ = Q₈×C₃⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	120	8	(Q8xC15):3C4	480,1069
(Q₈×C₁₅)⋊₄C₄ = C₃×Q₈⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	120	8	(Q8xC15):4C4	480,289
(Q₈×C₁₅)⋊₅C₄ = C₃×Q₈⋊₂F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	120	8	(Q8xC15):5C4	480,290
(Q₈×C₁₅)⋊₆C₄ = C₃×Q₈×F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	120	8	(Q8xC15):6C4	480,1056
(Q₈×C₁₅)⋊₇C₄ = Q₈⋊₂Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15):7C4	480,195
(Q₈×C₁₅)⋊₈C₄ = Q₈⋊₃Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):8C4	480,197
(Q₈×C₁₅)⋊₉C₄ = Q₈×Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15):9C4	480,910
(Q₈×C₁₅)⋊₁₀C₄ = C₃×Q₈⋊Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15):10C4	480,113
(Q₈×C₁₅)⋊₁₁C₄ = C₃×D₄⋊₂Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):11C4	480,115
(Q₈×C₁₅)⋊₁₂C₄ = C₃×Q₈×Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15):12C4	480,738
(Q₈×C₁₅)⋊₁₃C₄ = C₅×Q₈⋊₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15):13C4	480,154
(Q₈×C₁₅)⋊₁₄C₄ = C₅×Q₈⋊₃Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	4	(Q8xC15):14C4	480,156
(Q₈×C₁₅)⋊₁₅C₄ = C₅×Q₈×Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15):15C4	480,824
(Q₈×C₁₅)⋊₁₆C₄ = C₁₅×Q₈⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	480		(Q8xC15):16C4	480,206
(Q₈×C₁₅)⋊₁₇C₄ = C₁₅×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	120	2	(Q8xC15):17C4	480,207

Non-split extensions G=N.Q with N=Q₈×C₁₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₅).₁C₄ = D₂₀.Dic₃	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	240	8	(Q8xC15).1C4	480,1068
(Q₈×C₁₅).₂C₄ = C₃×Q₈.F₅	φ: C₄/C₁ → C₄ ⊆ Out Q₈×C₁₅	240	8	(Q8xC15).2C4	480,1055
(Q₈×C₁₅).₃C₄ = D₄.Dic₁₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).3C4	480,913
(Q₈×C₁₅).₄C₄ = C₃×D₄.Dic₅	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).4C4	480,741
(Q₈×C₁₅).₅C₄ = C₅×D₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out Q₈×C₁₅	240	4	(Q8xC15).5C4	480,827
(Q₈×C₁₅).₆C₄ = C₁₅×C₈○D₄	φ: trivial image	240	2	(Q8xC15).6C4	480,936

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁