Extensions 1→N→G→Q→1 with N=C₂×Dic₆ and Q=D₅

Direct product G=N×Q with N=C₂×Dic₆ and Q=D₅

		d	ρ	Label	ID
C₂×D₅×Dic₆		240		C2xD5xDic6	480,1073

Semidirect products G=N:Q with N=C₂×Dic₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆)⋊₁D₅ = C₂×Dic₆⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):1D5	480,393
(C₂×Dic₆)⋊₂D₅ = C₆₀.₆₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):2D5	480,435
(C₂×Dic₆)⋊₃D₅ = C₆₀.₇₀D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):3D5	480,451
(C₂×Dic₆)⋊₄D₅ = D₁₀⋊₁Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):4D5	480,497
(C₂×Dic₆)⋊₅D₅ = D₃₀⋊₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):5D5	480,500
(C₂×Dic₆)⋊₆D₅ = (C₂×Dic₆)⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):6D5	480,531
(C₂×Dic₆)⋊₇D₅ = C₂×C₃₀.D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):7D5	480,382
(C₂×Dic₆)⋊₈D₅ = D₂₀.₃₇D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6):8D5	480,383
(C₂×Dic₆)⋊₉D₅ = C₂₀.D₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6):9D5	480,397
(C₂×Dic₆)⋊₁₀D₅ = C₆₀.₈₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):10D5	480,444
(C₂×Dic₆)⋊₁₁D₅ = D₃₀⋊₉Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):11D5	480,459
(C₂×Dic₆)⋊₁₂D₅ = C₂×D₂₀⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):12D5	480,1075
(C₂×Dic₆)⋊₁₃D₅ = D₂₀.₃₈D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6):13D5	480,1076
(C₂×Dic₆)⋊₁₄D₅ = C₂×D₁₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240		(C2xDic6):14D5	480,1082
(C₂×Dic₆)⋊₁₅D₅ = C₂×C₁₂.₂₈D₁₀	φ: trivial image	240		(C2xDic6):15D5	480,1085

Non-split extensions G=N.Q with N=C₂×Dic₆ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₆).₁D₅ = C₁₀.Dic₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).1D5	480,49
(C₂×Dic₆).₂D₅ = C₂×C₅⋊Dic₁₂	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).2D5	480,396
(C₂×Dic₆).₃D₅ = Dic₁₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).3D5	480,405
(C₂×Dic₆).₄D₅ = Dic₅⋊Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).4D5	480,452
(C₂×Dic₆).₅D₅ = C₆₀.₅₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	240	4	(C2xDic6).5D5	480,38
(C₂×Dic₆).₆D₅ = Dic₆⋊Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).6D5	480,48
(C₂×Dic₆).₇D₅ = C₂×C₁₅⋊Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).7D5	480,394
(C₂×Dic₆).₈D₅ = Dic₁₅⋊₇Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).8D5	480,420
(C₂×Dic₆).₉D₅ = Dic₁₅⋊₈Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₆	480		(C2xDic6).9D5	480,461
(C₂×Dic₆).₁₀D₅ = Dic₅×Dic₆	φ: trivial image	480		(C2xDic6).10D5	480,408

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁