Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₂xDic₅

Direct product G=NxQ with N=Dic₃ and Q=C₂xDic₅

		d	ρ	Label	ID
C₂xDic₃xDic₅		480		C2xDic3xDic5	480,603

Semidirect products G=N:Q with N=Dic₃ and Q=C₂xDic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁(C₂xDic₅) = Dic₅xC₃:D₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:1(C2xDic5)	480,627
Dic₃:₂(C₂xDic₅) = Dic₁₅:₁₇D₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:2(C2xDic5)	480,636
Dic₃:₃(C₂xDic₅) = S₃xC₄:Dic₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C2xDic5)	480,502
Dic₃:₄(C₂xDic₅) = C₂xC₆.Dic₁₀	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out Dic₃	480		Dic3:4(C2xDic5)	480,621
Dic₃:₅(C₂xDic₅) = C₄xS₃xDic₅	φ: trivial image	240		Dic3:5(C2xDic5)	480,473

Non-split extensions G=N.Q with N=Dic₃ and Q=C₂xDic₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₂xDic₅) = D₁₂.₂Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.1(C2xDic5)	480,362
Dic₃.₂(C₂xDic₅) = D₁₂.Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.2(C2xDic5)	480,364
Dic₃.₃(C₂xDic₅) = Dic₅xDic₆	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.3(C2xDic5)	480,408
Dic₃.₄(C₂xDic₅) = Dic₁₅:₇Q₈	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.4(C2xDic5)	480,420
Dic₃.₅(C₂xDic₅) = S₃xC₄.Dic₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.5(C2xDic5)	480,363
Dic₃.₆(C₂xDic₅) = C₂xD₆.Dic₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.6(C2xDic5)	480,370
Dic₃.₇(C₂xDic₅) = (S₃xC₂₀):₇C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.7(C2xDic5)	480,447
Dic₃.₈(C₂xDic₅) = C₂³.₂₆(S₃xD₅)	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.8(C2xDic5)	480,605
Dic₃.₉(C₂xDic₅) = C₂xS₃xC₅:₂C₈	φ: trivial image	240		Dic3.9(C2xDic5)	480,361
Dic₃.₁₀(C₂xDic₅) = (S₃xC₂₀):₅C₄	φ: trivial image	240		Dic3.10(C2xDic5)	480,414

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