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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅)⋊₁C₆ = C₃×S₃×Dic₅	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5):1C6	360,59
(C₃×Dic₅)⋊₂C₆ = C₃×D₃₀.C₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5):2C6	360,60
(C₃×Dic₅)⋊₃C₆ = C₃×C₅⋊D₁₂	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5):3C6	360,63
(C₃×Dic₅)⋊₄C₆ = C₃²×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	180		(C3xDic5):4C6	360,94
(C₃×Dic₅)⋊₅C₆ = D₅×C₃×C₁₂	φ: trivial image	180		(C3xDic5):5C6	360,91

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×Dic₅).₁C₆ = C₃×C₁₅⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).1C6	360,64
(C₃×Dic₅).₂C₆ = C₉×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	360	2	(C3xDic5).2C6	360,15
(C₃×Dic₅).₃C₆ = C₉×C₅⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	180	2	(C3xDic5).3C6	360,19
(C₃×Dic₅).₄C₆ = C₃²×Dic₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	360		(C3xDic5).4C6	360,90
(C₃×Dic₅).₅C₆ = C₃×C₁₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	120	4	(C3xDic5).5C6	360,53
(C₃×Dic₅).₆C₆ = C₉×C₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	360	4	(C3xDic5).6C6	360,5
(C₃×Dic₅).₇C₆ = C₃²×C₅⋊C₈	φ: C₆/C₃ → C₂ ⊆ Out C₃×Dic₅	360		(C3xDic5).7C6	360,52
(C₃×Dic₅).₈C₆ = D₅×C₃₆	φ: trivial image	180	2	(C3xDic5).8C6	360,16
(C₃×Dic₅).₉C₆ = C₁₈×Dic₅	φ: trivial image	360		(C3xDic5).9C6	360,18

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