Extensions 1→N→G→Q→1 with N=C₂×Dic₃ and Q=D₅

Direct product G=N×Q with N=C₂×Dic₃ and Q=D₅

		d	ρ	Label	ID
C₂×D₅×Dic₃		120		C2xD5xDic3	240,139

Semidirect products G=N:Q with N=C₂×Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃)⋊₁D₅ = D₁₀⋊Dic₃	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):1D5	240,26
(C₂×Dic₃)⋊₂D₅ = D₃₀⋊₄C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):2D5	240,28
(C₂×Dic₃)⋊₃D₅ = Dic₅.D₆	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	120	4	(C2xDic3):3D5	240,140
(C₂×Dic₃)⋊₄D₅ = C₂×C₃⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	120		(C2xDic3):4D5	240,146
(C₂×Dic₃)⋊₅D₅ = C₂×D₃₀.C₂	φ: trivial image	120		(C2xDic3):5D5	240,144

Non-split extensions G=N.Q with N=C₂×Dic₃ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₃).₁D₅ = C₃₀.Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).1D5	240,29
(C₂×Dic₃).₂D₅ = Dic₁₅⋊₅C₄	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).2D5	240,30
(C₂×Dic₃).₃D₅ = C₆.Dic₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).3D5	240,31
(C₂×Dic₃).₄D₅ = C₂×C₁₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₂×Dic₃	240		(C2xDic3).4D5	240,148
(C₂×Dic₃).₅D₅ = Dic₃×Dic₅	φ: trivial image	240		(C2xDic3).5D5	240,25

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