Extensions 1→N→G→Q→1 with N=C₅×Dic₃ and Q=C₆

Direct product G=N×Q with N=C₅×Dic₃ and Q=C₆

		d	ρ	Label	ID
Dic₃×C₃₀		120		Dic3xC30	360,98

Semidirect products G=N:Q with N=C₅×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃)⋊₁C₆ = C₃×D₅×Dic₃	φ: C₆/C₃ → C₂ ⊆ Out C₅×Dic₃	60	4	(C5xDic3):1C6	360,58
(C₅×Dic₃)⋊₂C₆ = C₃×D₃₀.C₂	φ: C₆/C₃ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3):2C6	360,60
(C₅×Dic₃)⋊₃C₆ = C₃×C₃⋊D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₅×Dic₃	60	4	(C5xDic3):3C6	360,62
(C₅×Dic₃)⋊₄C₆ = C₁₅×C₃⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×Dic₃	60	2	(C5xDic3):4C6	360,99
(C₅×Dic₃)⋊₅C₆ = S₃×C₆₀	φ: trivial image	120	2	(C5xDic3):5C6	360,96

Non-split extensions G=N.Q with N=C₅×Dic₃ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×Dic₃).₁C₆ = C₃×C₁₅⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₅×Dic₃	120	4	(C5xDic3).1C6	360,64
(C₅×Dic₃).₂C₆ = C₁₅×Dic₆	φ: C₆/C₃ → C₂ ⊆ Out C₅×Dic₃	120	2	(C5xDic3).2C6	360,95

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