Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=Dic₅

Direct product G=N×Q with N=C₃×C₆ and Q=Dic₅

		d	ρ	Label	ID
C₃×C₆×Dic₅		360		C3xC6xDic5	360,93

Semidirect products G=N:Q with N=C₃×C₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊Dic₅ = C₂×C₃²⋊Dic₅	φ: Dic₅/C₅ → C₄ ⊆ Aut C₃×C₆	60	4	(C3xC6):Dic5	360,149
(C₃×C₆)⋊₂Dic₅ = C₆×Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₃×C₆	120		(C3xC6):2Dic5	360,103
(C₃×C₆)⋊₃Dic₅ = C₂×C₃⋊Dic₁₅	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₃×C₆	360		(C3xC6):3Dic5	360,113

Non-split extensions G=N.Q with N=C₃×C₆ and Q=Dic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).Dic₅ = (C₃×C₁₅)⋊₉C₈	φ: Dic₅/C₅ → C₄ ⊆ Aut C₃×C₆	120	4	(C3xC6).Dic5	360,56
(C₃×C₆).₂Dic₅ = C₃×C₁₅⋊₃C₈	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₃×C₆	120	2	(C3xC6).2Dic5	360,35
(C₃×C₆).₃Dic₅ = C₆₀.S₃	φ: Dic₅/C₁₀ → C₂ ⊆ Aut C₃×C₆	360		(C3xC6).3Dic5	360,37
(C₃×C₆).₄Dic₅ = C₃²×C₅⋊₂C₈	central extension (φ=1)	360		(C3xC6).4Dic5	360,33

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