Extensions 1→N→G→Q→1 with N=C₅×C₃⋊Dic₃ and Q=C₂

Direct product G=N×Q with N=C₅×C₃⋊Dic₃ and Q=C₂

		d	ρ	Label	ID
C₁₀×C₃⋊Dic₃		360		C10xC3:Dic3	360,108

Semidirect products G=N:Q with N=C₅×C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊Dic₃)⋊₁C₂ = D₅×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	180		(C5xC3:Dic3):1C2	360,65
(C₅×C₃⋊Dic₃)⋊₂C₂ = C₃₀.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	180		(C5xC3:Dic3):2C2	360,67
(C₅×C₃⋊Dic₃)⋊₃C₂ = C₃²⋊₇D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	180		(C5xC3:Dic3):3C2	360,69
(C₅×C₃⋊Dic₃)⋊₄C₂ = D₃₀.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3):4C2	360,84
(C₅×C₃⋊Dic₃)⋊₅C₂ = C₃²⋊₃D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3):5C2	360,87
(C₅×C₃⋊Dic₃)⋊₆C₂ = C₅×S₃×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3):6C2	360,72
(C₅×C₃⋊Dic₃)⋊₇C₂ = C₅×D₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3):7C2	360,74
(C₅×C₃⋊Dic₃)⋊₈C₂ = C₅×C₃²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	180		(C5xC3:Dic3):8C2	360,109
(C₅×C₃⋊Dic₃)⋊₉C₂ = C₃⋊S₃×C₂₀	φ: trivial image	180		(C5xC3:Dic3):9C2	360,106

Non-split extensions G=N.Q with N=C₅×C₃⋊Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×C₃⋊Dic₃).₁C₂ = C₁₅⋊Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	360		(C5xC3:Dic3).1C2	360,71
(C₅×C₃⋊Dic₃).₂C₂ = C₃²⋊₃Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3).2C2	360,88
(C₅×C₃⋊Dic₃).₃C₂ = C₅×C₃²⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3).3C2	360,55
(C₅×C₃⋊Dic₃).₄C₂ = (C₃×C₁₅)⋊₉C₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3).4C2	360,56
(C₅×C₃⋊Dic₃).₅C₂ = C₅×C₃²⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	120	4	(C5xC3:Dic3).5C2	360,76
(C₅×C₃⋊Dic₃).₆C₂ = C₅×C₃²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅×C₃⋊Dic₃	360		(C5xC3:Dic3).6C2	360,105

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