Extensions 1→N→G→Q→1 with N=C₅×Dic₃ and Q=C₈

Direct product G=N×Q with N=C₅×Dic₃ and Q=C₈

		d	ρ	Label	ID
Dic₃×C₄₀		480		Dic3xC40	480,132

Semidirect products G=N:Q with N=C₅×Dic₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃)⋊₁C₈ = Dic₃×C₅⋊C₈	φ: C₈/C₂ → C₄ ⊆ Out C₅×Dic₃	480		(C5xDic3):1C8	480,244
(C₅×Dic₃)⋊₂C₈ = C₃₀.₄M₄(2)	φ: C₈/C₂ → C₄ ⊆ Out C₅×Dic₃	480		(C5xDic3):2C8	480,252
(C₅×Dic₃)⋊₃C₈ = Dic₃×C₅⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×Dic₃	480		(C5xDic3):3C8	480,26
(C₅×Dic₃)⋊₄C₈ = C₆₀.₁₅Q₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×Dic₃	480		(C5xDic3):4C8	480,60
(C₅×Dic₃)⋊₅C₈ = C₅×Dic₃⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×Dic₃	480		(C5xDic3):5C8	480,133

Non-split extensions G=N.Q with N=C₅×Dic₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃).₁C₈ = S₃×C₅⋊C₁₆	φ: C₈/C₂ → C₄ ⊆ Out C₅×Dic₃	240	8	(C5xDic3).1C8	480,239
(C₅×Dic₃).₂C₈ = C₁₅⋊M₅(2)	φ: C₈/C₂ → C₄ ⊆ Out C₅×Dic₃	240	8	(C5xDic3).2C8	480,241
(C₅×Dic₃).₃C₈ = S₃×C₅⋊₂C₁₆	φ: C₈/C₄ → C₂ ⊆ Out C₅×Dic₃	240	4	(C5xDic3).3C8	480,8
(C₅×Dic₃).₄C₈ = C₄₀.₅₂D₆	φ: C₈/C₄ → C₂ ⊆ Out C₅×Dic₃	240	4	(C5xDic3).4C8	480,11
(C₅×Dic₃).₅C₈ = C₅×D₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out C₅×Dic₃	240	2	(C5xDic3).5C8	480,117
(C₅×Dic₃).₆C₈ = S₃×C₈₀	φ: trivial image	240	2	(C5xDic3).6C8	480,116

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