Extensions 1→N→G→Q→1 with N=C₄×Dic₃ and Q=D₅

Direct product G=N×Q with N=C₄×Dic₃ and Q=D₅

		d	ρ	Label	ID
C₄×D₅×Dic₃		240		C4xD5xDic3	480,467

Semidirect products G=N:Q with N=C₄×Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃)⋊₁D₅ = C₆₀.₉₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	120	4	(C4xDic3):1D5	480,53
(C₄×Dic₃)⋊₂D₅ = D₆₀⋊₁₃C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	120	4	(C4xDic3):2D5	480,56
(C₄×Dic₃)⋊₃D₅ = C₆₀.₄₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):3D5	480,440
(C₄×Dic₃)⋊₄D₅ = C₆₀.₄₇D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):4D5	480,450
(C₄×Dic₃)⋊₅D₅ = Dic₃×D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):5D5	480,501
(C₄×Dic₃)⋊₆D₅ = D₆₀⋊₁₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):6D5	480,504
(C₄×Dic₃)⋊₇D₅ = C₁₂⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):7D5	480,534
(C₄×Dic₃)⋊₈D₅ = Dic₃.D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):8D5	480,429
(C₄×Dic₃)⋊₉D₅ = (D₅×C₁₂)⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):9D5	480,433
(C₄×Dic₃)⋊₁₀D₅ = (C₄×Dic₃)⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):10D5	480,439
(C₄×Dic₃)⋊₁₁D₅ = C₁₀.D₄⋊S₃	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):11D5	480,456
(C₄×Dic₃)⋊₁₂D₅ = (C₄×D₁₅)⋊₁₀C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):12D5	480,462
(C₄×Dic₃)⋊₁₃D₅ = (D₅×Dic₃)⋊C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):13D5	480,469
(C₄×Dic₃)⋊₁₄D₅ = Dic₃⋊₄D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):14D5	480,471
(C₄×Dic₃)⋊₁₅D₅ = D₃₀.₂₃(C₂×C₄)	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):15D5	480,479
(C₄×Dic₃)⋊₁₆D₅ = C₄×C₃⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	240		(C4xDic3):16D5	480,519
(C₄×Dic₃)⋊₁₇D₅ = C₄×D₃₀.C₂	φ: trivial image	240		(C4xDic3):17D5	480,477

Non-split extensions G=N.Q with N=C₄×Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₃).₁D₅ = Dic₃×Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).1D5	480,406
(C₄×Dic₃).₂D₅ = Dic₃₀⋊₁₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).2D5	480,416
(C₄×Dic₃).₃D₅ = C₆₀.₆Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).3D5	480,457
(C₄×Dic₃).₄D₅ = C₆₀.₄₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).4D5	480,465
(C₄×Dic₃).₅D₅ = C₂₀⋊₄Dic₆	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).5D5	480,545
(C₄×Dic₃).₆D₅ = C₃₀.₂₂C₄²	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).6D5	480,29
(C₄×Dic₃).₇D₅ = C₆₀.₁₅Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).7D5	480,60
(C₄×Dic₃).₈D₅ = Dic₃⋊₅Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).8D5	480,400
(C₄×Dic₃).₉D₅ = Dic₃.₃Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).9D5	480,455
(C₄×Dic₃).₁₀D₅ = C₄×C₁₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄×Dic₃	480		(C4xDic3).10D5	480,543
(C₄×Dic₃).₁₁D₅ = Dic₃×C₅⋊₂C₈	φ: trivial image	480		(C4xDic3).11D5	480,26

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