Extensions 1→N→G→Q→1 with N=C₂³×Dic₅ and Q=C₂

Direct product G=N×Q with N=C₂³×Dic₅ and Q=C₂

		d	ρ	Label	ID
C₂⁴×Dic₅		320		C2^4xDic5	320,1626

Semidirect products G=N:Q with N=C₂³×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×Dic₅)⋊₁C₂ = C₂³.₄₅D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):1C2	320,585
(C₂³×Dic₅)⋊₂C₂ = C₂⁴.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):2C2	320,847
(C₂³×Dic₅)⋊₃C₂ = C₂×Dic₅⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):3C2	320,1157
(C₂³×Dic₅)⋊₄C₂ = C₂×C₂².D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):4C2	320,1164
(C₂³×Dic₅)⋊₅C₂ = C₂⁴.₅₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	80		(C2^3xDic5):5C2	320,1258
(C₂³×Dic₅)⋊₆C₂ = C₂²×D₁₀⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):6C2	320,1459
(C₂³×Dic₅)⋊₇C₂ = C₂×D₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):7C2	320,1467
(C₂³×Dic₅)⋊₈C₂ = C₂×C₂³.₁₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):8C2	320,1468
(C₂³×Dic₅)⋊₉C₂ = C₂×Dic₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):9C2	320,1474
(C₂³×Dic₅)⋊₁₀C₂ = C₂²×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):10C2	320,1511
(C₂³×Dic₅)⋊₁₁C₂ = C₂²×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):11C2	320,1613
(C₂³×Dic₅)⋊₁₂C₂ = C₂³×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5):12C2	320,1627
(C₂³×Dic₅)⋊₁₃C₂ = D₅×C₂³×C₄	φ: trivial image	160		(C2^3xDic5):13C2	320,1609

Non-split extensions G=N.Q with N=C₂³×Dic₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×Dic₅).₁C₂ = C₂²⋊C₄×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).1C2	320,568
(C₂³×Dic₅).₂C₂ = C₂⁴.₄₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).2C2	320,569
(C₂³×Dic₅).₃C₂ = C₂³.₄₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).3C2	320,570
(C₂³×Dic₅).₄C₂ = C₂⁴.₄₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).4C2	320,573
(C₂³×Dic₅).₅C₂ = C₂⁴.₄₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).5C2	320,577
(C₂³×Dic₅).₆C₂ = C₂×C₁₀.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	320		(C2^3xDic5).6C2	320,835
(C₂³×Dic₅).₇C₂ = C₂×C₂³.₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).7C2	320,1152
(C₂³×Dic₅).₈C₂ = C₂×Dic₅.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).8C2	320,1153
(C₂³×Dic₅).₉C₂ = C₂²×C₁₀.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	320		(C2^3xDic5).9C2	320,1455
(C₂³×Dic₅).₁₀C₂ = C₂²×C₄⋊Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	320		(C2^3xDic5).10C2	320,1457
(C₂³×Dic₅).₁₁C₂ = C₂³×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	320		(C2^3xDic5).11C2	320,1608
(C₂³×Dic₅).₁₂C₂ = C₂×C₂³.₂F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).12C2	320,1135
(C₂³×Dic₅).₁₃C₂ = C₂⁴.₄F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	80		(C2^3xDic5).13C2	320,1136
(C₂³×Dic₅).₁₄C₂ = C₂³×C₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	320		(C2^3xDic5).14C2	320,1605
(C₂³×Dic₅).₁₅C₂ = C₂²×C₂².F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂³×Dic₅	160		(C2^3xDic5).15C2	320,1606
(C₂³×Dic₅).₁₆C₂ = C₂²×C₄×Dic₅	φ: trivial image	320		(C2^3xDic5).16C2	320,1454

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