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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₃)⋊₁C₄ = D₅×Dic₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3):1C4	480,468
(D₅×Dic₃)⋊₂C₄ = (D₅×Dic₃)⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3):2C4	480,469
(D₅×Dic₃)⋊₃C₄ = D₁₀.₁₉(C₄×S₃)	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	240		(D5xDic3):3C4	480,470
(D₅×Dic₃)⋊₄C₄ = C₂×Dic₃×F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120		(D5xDic3):4C4	480,998
(D₅×Dic₃)⋊₅C₄ = C₂²⋊F₅.S₃	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8-	(D5xDic3):5C4	480,999
(D₅×Dic₃)⋊₆C₄ = C₂×Dic₃⋊F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120		(D5xDic3):6C4	480,1001

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

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×Dic₃).₁C₄ = D₅×C₈⋊S₃	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3).1C4	480,320
(D₅×Dic₃).₂C₄ = S₃×C₈⋊D₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3).2C4	480,321
(D₅×Dic₃).₃C₄ = C₄₀⋊D₆	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	4	(D5xDic3).3C4	480,322
(D₅×Dic₃).₄C₄ = S₃×D₅⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8	(D5xDic3).4C4	480,986
(D₅×Dic₃).₅C₄ = S₃×C₄.F₅	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8	(D5xDic3).5C4	480,988
(D₅×Dic₃).₆C₄ = D₁₅⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8	(D5xDic3).6C4	480,991
(D₅×Dic₃).₇C₄ = C₅⋊C₈⋊D₆	φ: C₄/C₂ → C₂ ⊆ Out D₅×Dic₃	120	8	(D5xDic3).7C4	480,993
(D₅×Dic₃).₈C₄ = S₃×C₈×D₅	φ: trivial image	120	4	(D5xDic3).8C4	480,319

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