Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₄xD₅

Direct product G=NxQ with N=Dic₃ and Q=C₄xD₅

		d	ρ	Label	ID
C₄xD₅xDic₃		240		C4xD5xDic3	480,467

Semidirect products G=N:Q with N=Dic₃ and Q=C₄xD₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁(C₄xD₅) = Dic₁₅:₁₃D₄	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:1(C4xD5)	480,472
Dic₃:₂(C₄xD₅) = C₁₅:₂₀(C₄xD₄)	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out Dic₃	240		Dic3:2(C4xD5)	480,520
Dic₃:₃(C₄xD₅) = Dic₃:₄D₂₀	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C4xD5)	480,471
Dic₃:₄(C₄xD₅) = C₄xC₃:D₂₀	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:4(C4xD5)	480,519
Dic₃:₅(C₄xD₅) = D₅xDic₃:C₄	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:5(C4xD5)	480,468
Dic₃:₆(C₄xD₅) = D₃₀.Q₈	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:6(C4xD5)	480,480
Dic₃:₇(C₄xD₅) = C₄xD₃₀.C₂	φ: trivial image	240		Dic3:7(C4xD5)	480,477

Non-split extensions G=N.Q with N=Dic₃ and Q=C₄xD₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₄xD₅) = C₄₀.₃₄D₆	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.1(C4xD5)	480,342
Dic₃.₂(C₄xD₅) = C₄₀.₃₅D₆	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out Dic₃	240	4	Dic3.2(C4xD5)	480,344
Dic₃.₃(C₄xD₅) = Dic₅:₅Dic₆	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.3(C4xD5)	480,399
Dic₃.₄(C₄xD₅) = Dic₁₅:₅Q₈	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out Dic₃	480		Dic3.4(C4xD5)	480,401
Dic₃.₅(C₄xD₅) = C₄₀.₅₄D₆	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.5(C4xD5)	480,341
Dic₃.₆(C₄xD₅) = C₄₀.₅₅D₆	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.6(C4xD5)	480,343
Dic₃.₇(C₄xD₅) = Dic₃:₅Dic₁₀	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.7(C4xD5)	480,400
Dic₃.₈(C₄xD₅) = C₄xC₁₅:Q₈	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.8(C4xD5)	480,543
Dic₃.₉(C₄xD₅) = D₅xC₈:S₃	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.9(C4xD5)	480,320
Dic₃.₁₀(C₄xD₅) = C₄₀:D₆	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.10(C4xD5)	480,322
Dic₃.₁₁(C₄xD₅) = D₁₀.₁₉(C₄xS₃)	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.11(C4xD5)	480,470
Dic₃.₁₂(C₄xD₅) = D₃₀.C₂:C₄	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.12(C4xD5)	480,478
Dic₃.₁₃(C₄xD₅) = S₃xC₈xD₅	φ: trivial image	120	4	Dic3.13(C4xD5)	480,319
Dic₃.₁₄(C₄xD₅) = S₃xC₈:D₅	φ: trivial image	120	4	Dic3.14(C4xD5)	480,321
Dic₃.₁₅(C₄xD₅) = (D₅xDic₃):C₄	φ: trivial image	240		Dic3.15(C4xD5)	480,469
Dic₃.₁₆(C₄xD₅) = D₃₀.₂₃(C₂xC₄)	φ: trivial image	240		Dic3.16(C4xD5)	480,479

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