Extensions 1→N→G→Q→1 with N=D₅×C₁₂ and Q=C₄

Direct product G=N×Q with N=D₅×C₁₂ and Q=C₄

		d	ρ	Label	ID
D₅×C₄×C₁₂		240		D5xC4xC12	480,664

Semidirect products G=N:Q with N=D₅×C₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₂)⋊₁C₄ = (C₄×D₅)⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12):1C4	480,434
(D₅×C₁₂)⋊₂C₄ = D₅×C₄⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12):2C4	480,488
(D₅×C₁₂)⋊₃C₄ = (D₅×C₁₂)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12):3C4	480,433
(D₅×C₁₂)⋊₄C₄ = C₄×D₅×Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12):4C4	480,467
(D₅×C₁₂)⋊₅C₄ = C₃×D₅×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12):5C4	480,684
(D₅×C₁₂)⋊₆C₄ = C₃×C₄⋊C₄⋊₇D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12):6C4	480,685
(D₅×C₁₂)⋊₇C₄ = C₂×C₆₀⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120		(D5xC12):7C4	480,1064
(D₅×C₁₂)⋊₈C₄ = C₃×C₄²⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12):8C4	480,665
(D₅×C₁₂)⋊₉C₄ = C₂×C₄×C₃⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120		(D5xC12):9C4	480,1063
(D₅×C₁₂)⋊₁₀C₄ = (C₂×C₁₂)⋊₆F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120	4	(D5xC12):10C4	480,1065
(D₅×C₁₂)⋊₁₁C₄ = C₆×C₄⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120		(D5xC12):11C4	480,1051
(D₅×C₁₂)⋊₁₂C₄ = C₃×D₁₀.C₂³	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120	4	(D5xC12):12C4	480,1052
(D₅×C₁₂)⋊₁₃C₄ = F₅×C₂×C₁₂	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120		(D5xC12):13C4	480,1050

Non-split extensions G=N.Q with N=D₅×C₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₁₂).₁C₄ = D₅×C₄.Dic₃	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120	4	(D5xC12).1C4	480,358
(D₅×C₁₂).₂C₄ = D₅×C₃⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240	4	(D5xC12).2C4	480,7
(D₅×C₁₂).₃C₄ = C₄₀.₅₁D₆	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240	4	(D5xC12).3C4	480,10
(D₅×C₁₂).₄C₄ = C₂×D₅×C₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12).4C4	480,357
(D₅×C₁₂).₅C₄ = C₂×C₂₀.₃₂D₆	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12).5C4	480,369
(D₅×C₁₂).₆C₄ = C₃×D₅×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120	4	(D5xC12).6C4	480,699
(D₅×C₁₂).₇C₄ = C₂×C₁₂.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12).7C4	480,1061
(D₅×C₁₂).₈C₄ = C₃×C₈₀⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240	2	(D5xC12).8C4	480,76
(D₅×C₁₂).₉C₄ = C₆×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12).9C4	480,693
(D₅×C₁₂).₁₀C₄ = C₂₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240	4	(D5xC12).10C4	480,294
(D₅×C₁₂).₁₁C₄ = C₁₂₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240	4	(D5xC12).11C4	480,295
(D₅×C₁₂).₁₂C₄ = C₂×C₆₀.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12).12C4	480,1060
(D₅×C₁₂).₁₃C₄ = C₆₀.₅₉(C₂×C₄)	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120	4	(D5xC12).13C4	480,1062
(D₅×C₁₂).₁₄C₄ = C₆×C₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12).14C4	480,1048
(D₅×C₁₂).₁₅C₄ = C₃×D₅⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	120	4	(D5xC12).15C4	480,1049
(D₅×C₁₂).₁₆C₄ = C₃×D₅⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240	4	(D5xC12).16C4	480,269
(D₅×C₁₂).₁₇C₄ = C₃×C₈.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240	4	(D5xC12).17C4	480,270
(D₅×C₁₂).₁₈C₄ = C₆×D₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅×C₁₂	240		(D5xC12).18C4	480,1047
(D₅×C₁₂).₁₉C₄ = D₅×C₄₈	φ: trivial image	240	2	(D5xC12).19C4	480,75
(D₅×C₁₂).₂₀C₄ = D₅×C₂×C₂₄	φ: trivial image	240		(D5xC12).20C4	480,692

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Extensions 1→N→G→Q→1 with N=D5×C12 and Q=C4

Extensions 1→N→G→Q→1 with N=D₅×C₁₂ and Q=C₄