Extensions 1→N→G→Q→1 with N=C₄×Dic₁₅ and Q=C₂

Direct product G=N×Q with N=C₄×Dic₁₅ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×Dic₁₅		480		C2xC4xDic15	480,887

Semidirect products G=N:Q with N=C₄×Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₁₅)⋊₁C₂ = D₆₀⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	120	4	(C4xDic15):1C2	480,185
(C₄×Dic₁₅)⋊₂C₂ = Q₈⋊₃Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	120	4	(C4xDic15):2C2	480,197
(C₄×Dic₁₅)⋊₃C₂ = D₆₀⋊₁₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):3C2	480,858
(C₄×Dic₁₅)⋊₄C₂ = D₄×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):4C2	480,899
(C₄×Dic₁₅)⋊₅C₂ = C₆₀.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):5C2	480,901
(C₄×Dic₁₅)⋊₆C₂ = C₆₀⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):6C2	480,905
(C₄×Dic₁₅)⋊₇C₂ = C₆₀.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):7C2	480,912
(C₄×Dic₁₅)⋊₈C₂ = (C₄×Dic₁₅)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):8C2	480,442
(C₄×Dic₁₅)⋊₉C₂ = D₆⋊Dic₅.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):9C2	480,443
(C₄×Dic₁₅)⋊₁₀C₂ = D₁₀.₁₉(C₄×S₃)	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):10C2	480,470
(C₄×Dic₁₅)⋊₁₁C₂ = (S₃×Dic₅)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):11C2	480,476
(C₄×Dic₁₅)⋊₁₂C₂ = Dic₁₅⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):12C2	480,518
(C₄×Dic₁₅)⋊₁₃C₂ = Dic₁₅.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):13C2	480,540
(C₄×Dic₁₅)⋊₁₄C₂ = C₄²⋊₂D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):14C2	480,837
(C₄×Dic₁₅)⋊₁₅C₂ = C₂³.₁₅D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):15C2	480,842
(C₄×Dic₁₅)⋊₁₆C₂ = C₂³.₈D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):16C2	480,844
(C₄×Dic₁₅)⋊₁₇C₂ = Dic₁₅⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):17C2	480,846
(C₄×Dic₁₅)⋊₁₈C₂ = C₂³.₁₁D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):18C2	480,850
(C₄×Dic₁₅)⋊₁₉C₂ = C₄⋊C₄⋊₇D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):19C2	480,857
(C₄×Dic₁₅)⋊₂₀C₂ = C₄⋊C₄⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):20C2	480,863
(C₄×Dic₁₅)⋊₂₁C₂ = C₂³.₂₆D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):21C2	480,891
(C₄×Dic₁₅)⋊₂₂C₂ = C₄×C₁₅⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):22C2	480,893
(C₄×Dic₁₅)⋊₂₃C₂ = C₆₀.₈₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):23C2	480,444
(C₄×Dic₁₅)⋊₂₄C₂ = C₆₀.₈₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):24C2	480,446
(C₄×Dic₁₅)⋊₂₅C₂ = D₂₀⋊₈Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):25C2	480,510
(C₄×Dic₁₅)⋊₂₆C₂ = Dic₁₅⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):26C2	480,511
(C₄×Dic₁₅)⋊₂₇C₂ = C₆₀⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):27C2	480,539
(C₄×Dic₁₅)⋊₂₈C₂ = C₆₀.₉₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	120	4	(C4xDic15):28C2	480,52
(C₄×Dic₁₅)⋊₂₉C₂ = C₆₀.₉₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	120	4	(C4xDic15):29C2	480,54
(C₄×Dic₁₅)⋊₃₀C₂ = (D₅×C₁₂)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):30C2	480,433
(C₄×Dic₁₅)⋊₃₁C₂ = (S₃×C₂₀)⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):31C2	480,447
(C₄×Dic₁₅)⋊₃₂C₂ = C₄×D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):32C2	480,467
(C₄×Dic₁₅)⋊₃₃C₂ = C₄×S₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):33C2	480,473
(C₄×Dic₁₅)⋊₃₄C₂ = C₄×C₁₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	240		(C4xDic15):34C2	480,515
(C₄×Dic₁₅)⋊₃₅C₂ = C₄²×D₁₅	φ: trivial image	240		(C4xDic15):35C2	480,836

Non-split extensions G=N.Q with N=C₄×Dic₁₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₄×Dic₁₅).₁C₂ = C₄⋊Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).1C2	480,853
(C₄×Dic₁₅).₂C₂ = C₄.Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).2C2	480,855
(C₄×Dic₁₅).₃C₂ = Dic₁₅⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).3C2	480,909
(C₄×Dic₁₅).₄C₂ = Q₈×Dic₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).4C2	480,910
(C₄×Dic₁₅).₅C₂ = C₆₀.₂₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).5C2	480,174
(C₄×Dic₁₅).₆C₂ = C₁₂₀⋊₁₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).6C2	480,175
(C₄×Dic₁₅).₇C₂ = Dic₁₅⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).7C2	480,401
(C₄×Dic₁₅).₈C₂ = Dic₁₅.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).8C2	480,458
(C₄×Dic₁₅).₉C₂ = C₄×Dic₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).9C2	480,833
(C₄×Dic₁₅).₁₀C₂ = Dic₁₅⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).10C2	480,852
(C₄×Dic₁₅).₁₁C₂ = Dic₁₅.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).11C2	480,854
(C₄×Dic₁₅).₁₂C₂ = Dic₁₅⋊₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).12C2	480,407
(C₄×Dic₁₅).₁₃C₂ = Dic₁₅⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).13C2	480,420
(C₄×Dic₁₅).₁₄C₂ = C₁₂.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).14C2	480,460
(C₄×Dic₁₅).₁₅C₂ = Dic₁₅⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).15C2	480,461
(C₄×Dic₁₅).₁₆C₂ = C₂₀⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).16C2	480,546
(C₄×Dic₁₅).₁₇C₂ = Dic₁₅⋊₄C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).17C2	480,27
(C₄×Dic₁₅).₁₈C₂ = C₃₀.₂₃C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).18C2	480,30
(C₄×Dic₁₅).₁₉C₂ = C₆₀.₁₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).19C2	480,59
(C₄×Dic₁₅).₂₀C₂ = C₄×C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₅	480	(C4xDic15).20C2	480,543
(C₄×Dic₁₅).₂₁C₂ = C₈×Dic₁₅	φ: trivial image	480	(C4xDic15).21C2	480,173

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Extensions 1→N→G→Q→1 with N=C4×Dic15 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄×Dic₁₅ and Q=C₂