Extensions 1→N→G→Q→1 with N=C₁₀×Dic₆ and Q=C₂

Direct product G=N×Q with N=C₁₀×Dic₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₀×Dic₆		480		C2xC10xDic6	480,1150

Semidirect products G=N:Q with N=C₁₀×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×Dic₆)⋊₁C₂ = D₂₀.₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6):1C2	480,383
(C₁₀×Dic₆)⋊₂C₂ = C₂₀.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6):2C2	480,397
(C₁₀×Dic₆)⋊₃C₂ = D₂₀.₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6):3C2	480,1076
(C₁₀×Dic₆)⋊₄C₂ = C₂×Dic₆⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):4C2	480,393
(C₁₀×Dic₆)⋊₅C₂ = C₆₀.₆₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):5C2	480,435
(C₁₀×Dic₆)⋊₆C₂ = C₆₀.₇₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):6C2	480,451
(C₁₀×Dic₆)⋊₇C₂ = C₂×D₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):7C2	480,1073
(C₁₀×Dic₆)⋊₈C₂ = C₂×C₁₂.₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):8C2	480,1085
(C₁₀×Dic₆)⋊₉C₂ = C₂×C₃₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):9C2	480,382
(C₁₀×Dic₆)⋊₁₀C₂ = C₆₀.₈₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):10C2	480,444
(C₁₀×Dic₆)⋊₁₁C₂ = D₃₀⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):11C2	480,459
(C₁₀×Dic₆)⋊₁₂C₂ = C₂×D₂₀⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):12C2	480,1075
(C₁₀×Dic₆)⋊₁₃C₂ = C₂×D₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):13C2	480,1082
(C₁₀×Dic₆)⋊₁₄C₂ = D₁₀⋊₁Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):14C2	480,497
(C₁₀×Dic₆)⋊₁₅C₂ = D₃₀⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):15C2	480,500
(C₁₀×Dic₆)⋊₁₆C₂ = (C₂×Dic₆)⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):16C2	480,531
(C₁₀×Dic₆)⋊₁₇C₂ = C₅×C₄²⋊₇S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):17C2	480,754
(C₁₀×Dic₆)⋊₁₈C₂ = C₅×Dic₃.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):18C2	480,757
(C₁₀×Dic₆)⋊₁₉C₂ = C₅×C₂³.₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):19C2	480,764
(C₁₀×Dic₆)⋊₂₀C₂ = C₅×D₆⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):20C2	480,775
(C₁₀×Dic₆)⋊₂₁C₂ = C₁₀×C₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):21C2	480,781
(C₁₀×Dic₆)⋊₂₂C₂ = C₅×C₁₂.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):22C2	480,803
(C₁₀×Dic₆)⋊₂₃C₂ = C₅×C₄.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):23C2	480,776
(C₁₀×Dic₆)⋊₂₄C₂ = C₅×C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6):24C2	480,788
(C₁₀×Dic₆)⋊₂₅C₂ = C₁₀×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):25C2	480,812
(C₁₀×Dic₆)⋊₂₆C₂ = C₅×C₂³.₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):26C2	480,815
(C₁₀×Dic₆)⋊₂₇C₂ = C₅×Q₈.₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6):27C2	480,830
(C₁₀×Dic₆)⋊₂₈C₂ = C₁₀×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):28C2	480,1155
(C₁₀×Dic₆)⋊₂₉C₂ = S₃×Q₈×C₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240		(C10xDic6):29C2	480,1157
(C₁₀×Dic₆)⋊₃₀C₂ = C₅×Q₈○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6):30C2	480,1162
(C₁₀×Dic₆)⋊₃₁C₂ = C₁₀×C₄○D₁₂	φ: trivial image	240		(C10xDic6):31C2	480,1153

Non-split extensions G=N.Q with N=C₁₀×Dic₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×Dic₆).₁C₂ = C₆₀.₅₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6).1C2	480,38
(C₁₀×Dic₆).₂C₂ = C₁₀.Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).2C2	480,49
(C₁₀×Dic₆).₃C₂ = C₂×C₅⋊Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).3C2	480,396
(C₁₀×Dic₆).₄C₂ = Dic₅×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).4C2	480,408
(C₁₀×Dic₆).₅C₂ = Dic₅⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).5C2	480,452
(C₁₀×Dic₆).₆C₂ = Dic₆⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).6C2	480,48
(C₁₀×Dic₆).₇C₂ = C₂×C₁₅⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).7C2	480,394
(C₁₀×Dic₆).₈C₂ = Dic₁₅⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).8C2	480,420
(C₁₀×Dic₆).₉C₂ = Dic₁₅⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).9C2	480,461
(C₁₀×Dic₆).₁₀C₂ = C₅×C₂.Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).10C2	480,135
(C₁₀×Dic₆).₁₁C₂ = Dic₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).11C2	480,405
(C₁₀×Dic₆).₁₂C₂ = C₅×C₁₂⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).12C2	480,748
(C₁₀×Dic₆).₁₃C₂ = C₅×C₁₂⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).13C2	480,767
(C₁₀×Dic₆).₁₄C₂ = C₁₀×Dic₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).14C2	480,784
(C₁₀×Dic₆).₁₅C₂ = C₅×C₆.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).15C2	480,129
(C₁₀×Dic₆).₁₆C₂ = C₅×C₁₂.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	240	4	(C10xDic6).16C2	480,143
(C₁₀×Dic₆).₁₇C₂ = C₅×Dic₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).17C2	480,766
(C₁₀×Dic₆).₁₈C₂ = C₁₀×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).18C2	480,822
(C₁₀×Dic₆).₁₉C₂ = C₅×Dic₃⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₆	480		(C10xDic6).19C2	480,823
(C₁₀×Dic₆).₂₀C₂ = C₂₀×Dic₆	φ: trivial image	480		(C10xDic6).20C2	480,747

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Extensions 1→N→G→Q→1 with N=C10×Dic6 and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₀×Dic₆ and Q=C₂