Extensions 1→N→G→Q→1 with N=C₄×D₁₅ and Q=C₄

Direct product G=N×Q with N=C₄×D₁₅ and Q=C₄

		d	ρ	Label	ID
C₄²×D₁₅		240		C4^2xD15	480,836

Semidirect products G=N:Q with N=C₄×D₁₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₅)⋊₁C₄ = C₄⋊F₅⋊₃S₃	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	120	8	(C4xD15):1C4	480,983
(C₄×D₁₅)⋊₂C₄ = S₃×C₄⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	60	8	(C4xD15):2C4	480,996
(C₄×D₁₅)⋊₃C₄ = (C₄×S₃)⋊F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	120	8	(C4xD15):3C4	480,985
(C₄×D₁₅)⋊₄C₄ = C₄×S₃×F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	60	8	(C4xD15):4C4	480,994
(C₄×D₁₅)⋊₅C₄ = C₄⋊C₄×D₁₅	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15):5C4	480,856
(C₄×D₁₅)⋊₆C₄ = C₄⋊C₄⋊₇D₁₅	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15):6C4	480,857
(C₄×D₁₅)⋊₇C₄ = C₄²⋊₂D₁₅	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15):7C4	480,837
(C₄×D₁₅)⋊₈C₄ = (C₄×D₁₅)⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15):8C4	480,423
(C₄×D₁₅)⋊₉C₄ = D₃₀.₂Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15):9C4	480,513
(C₄×D₁₅)⋊₁₀C₄ = (C₄×D₁₅)⋊₁₀C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15):10C4	480,462
(C₄×D₁₅)⋊₁₁C₄ = C₄×D₃₀.C₂	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15):11C4	480,477

Non-split extensions G=N.Q with N=C₄×D₁₅ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₅).₁C₄ = S₃×C₄.F₅	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	120	8	(C4xD15).1C4	480,988
(C₄×D₁₅).₂C₄ = D₁₅⋊M₄(2)	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	120	8	(C4xD15).2C4	480,991
(C₄×D₁₅).₃C₄ = D₁₅⋊C₁₆	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	240	8	(C4xD15).3C4	480,240
(C₄×D₁₅).₄C₄ = D₃₀.C₈	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	240	8	(C4xD15).4C4	480,242
(C₄×D₁₅).₅C₄ = S₃×D₅⋊C₈	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	120	8	(C4xD15).5C4	480,986
(C₄×D₁₅).₆C₄ = C₅⋊C₈⋊D₆	φ: C₄/C₁ → C₄ ⊆ Out C₄×D₁₅	120	8	(C4xD15).6C4	480,993
(C₄×D₁₅).₇C₄ = M₄(2)×D₁₅	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15).7C4	480,871
(C₄×D₁₅).₈C₄ = C₈₀⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240	2	(C4xD15).8C4	480,158
(C₄×D₁₅).₉C₄ = C₂×C₄₀⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15).9C4	480,865
(C₄×D₁₅).₁₀C₄ = D₁₅⋊₄M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	120	4	(C4xD15).10C4	480,368
(C₄×D₁₅).₁₁C₄ = D₁₅⋊₂C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240	4	(C4xD15).11C4	480,9
(C₄×D₁₅).₁₂C₄ = D₃₀.₅C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240	4	(C4xD15).12C4	480,12
(C₄×D₁₅).₁₃C₄ = C₂×D₁₅⋊₂C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15).13C4	480,365
(C₄×D₁₅).₁₄C₄ = C₂×D₃₀.₅C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₁₅	240		(C4xD15).14C4	480,371
(C₄×D₁₅).₁₅C₄ = C₁₆×D₁₅	φ: trivial image	240	2	(C4xD15).15C4	480,157
(C₄×D₁₅).₁₆C₄ = C₂×C₈×D₁₅	φ: trivial image	240		(C4xD15).16C4	480,864

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁