Extensions 1→N→G→Q→1 with N=C₁₀×Dic₃ and Q=C₂

Direct product G=N×Q with N=C₁₀×Dic₃ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₂×C₁₀		240		Dic3xC2xC10	240,173

Semidirect products G=N:Q with N=C₁₀×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×Dic₃)⋊₁C₂ = D₁₀⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):1C2	240,26
(C₁₀×Dic₃)⋊₂C₂ = D₃₀⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):2C2	240,28
(C₁₀×Dic₃)⋊₃C₂ = C₂×D₅×Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):3C2	240,139
(C₁₀×Dic₃)⋊₄C₂ = Dic₅.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120	4	(C10xDic3):4C2	240,140
(C₁₀×Dic₃)⋊₅C₂ = C₂×D₃₀.C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):5C2	240,144
(C₁₀×Dic₃)⋊₆C₂ = C₂×C₃⋊D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):6C2	240,146
(C₁₀×Dic₃)⋊₇C₂ = C₅×D₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):7C2	240,59
(C₁₀×Dic₃)⋊₈C₂ = C₅×C₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):8C2	240,64
(C₁₀×Dic₃)⋊₉C₂ = C₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120	4	(C10xDic3):9C2	240,170
(C₁₀×Dic₃)⋊₁₀C₂ = C₁₀×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	120		(C10xDic3):10C2	240,174
(C₁₀×Dic₃)⋊₁₁C₂ = S₃×C₂×C₂₀	φ: trivial image	120		(C10xDic3):11C2	240,166

Non-split extensions G=N.Q with N=C₁₀×Dic₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×Dic₃).₁C₂ = Dic₃×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).1C2	240,25
(C₁₀×Dic₃).₂C₂ = C₃₀.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).2C2	240,29
(C₁₀×Dic₃).₃C₂ = Dic₁₅⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).3C2	240,30
(C₁₀×Dic₃).₄C₂ = C₆.Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).4C2	240,31
(C₁₀×Dic₃).₅C₂ = C₂×C₁₅⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).5C2	240,148
(C₁₀×Dic₃).₆C₂ = C₅×Dic₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).6C2	240,57
(C₁₀×Dic₃).₇C₂ = C₅×C₄⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).7C2	240,58
(C₁₀×Dic₃).₈C₂ = C₁₀×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×Dic₃	240		(C10xDic3).8C2	240,165
(C₁₀×Dic₃).₉C₂ = Dic₃×C₂₀	φ: trivial image	240		(C10xDic3).9C2	240,56

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