Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂×Dic₅

Direct product G=N×Q with N=Dic₃ and Q=C₂×Dic₅

		d	ρ	Label	ID
C₂×Dic₃×Dic₅		480		C2xDic3xDic5	480,603

Semidirect products G=N:Q with N=Dic₃ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁(C₂×Dic₅) = Dic₅×C₃⋊D₄	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:1(C2xDic5)	480,627
Dic₃⋊₂(C₂×Dic₅) = Dic₁₅⋊₁₇D₄	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:2(C2xDic5)	480,636
Dic₃⋊₃(C₂×Dic₅) = S₃×C₄⋊Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C2xDic5)	480,502
Dic₃⋊₄(C₂×Dic₅) = C₂×C₆.Dic₁₀	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Dic₃	480		Dic3:4(C2xDic5)	480,621
Dic₃⋊₅(C₂×Dic₅) = C₄×S₃×Dic₅	φ: trivial image	240		Dic3:5(C2xDic5)	480,473

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂×Dic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂×Dic₅) = D₁₂.₂Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.1(C2xDic5)	480,362
Dic₃.₂(C₂×Dic₅) = D₁₂.Dic₅	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.2(C2xDic5)	480,364
Dic₃.₃(C₂×Dic₅) = Dic₅×Dic₆	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.3(C2xDic5)	480,408
Dic₃.₄(C₂×Dic₅) = Dic₁₅⋊₇Q₈	φ: C₂×Dic₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.4(C2xDic5)	480,420
Dic₃.₅(C₂×Dic₅) = S₃×C₄.Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.5(C2xDic5)	480,363
Dic₃.₆(C₂×Dic₅) = C₂×D₆.Dic₅	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.6(C2xDic5)	480,370
Dic₃.₇(C₂×Dic₅) = (S₃×C₂₀)⋊₇C₄	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.7(C2xDic5)	480,447
Dic₃.₈(C₂×Dic₅) = C₂³.₂₆(S₃×D₅)	φ: C₂×Dic₅/C₂×C₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.8(C2xDic5)	480,605
Dic₃.₉(C₂×Dic₅) = C₂×S₃×C₅⋊₂C₈	φ: trivial image	240		Dic3.9(C2xDic5)	480,361
Dic₃.₁₀(C₂×Dic₅) = (S₃×C₂₀)⋊₅C₄	φ: trivial image	240		Dic3.10(C2xDic5)	480,414

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