Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₅xD₄

Direct product G=NxQ with N=Dic₃ and Q=C₅xD₄

		d	ρ	Label	ID
C₅xD₄xDic₃		240		C5xD4xDic3	480,813

Semidirect products G=N:Q with N=Dic₃ and Q=C₅xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃:₁(C₅xD₄) = C₅xC₁₂:₃D₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3:1(C5xD4)	480,819
Dic₃:₂(C₅xD₄) = C₅xDic₃:D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:2(C5xD4)	480,763
Dic₃:₃(C₅xD₄) = C₅xC₂³.₁₄D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3:3(C5xD4)	480,818
Dic₃:₄(C₅xD₄) = C₅xDic₃:₄D₄	φ: trivial image	240		Dic3:4(C5xD4)	480,760
Dic₃:₅(C₅xD₄) = C₅xDic₃:₅D₄	φ: trivial image	240		Dic3:5(C5xD4)	480,772

Non-split extensions G=N.Q with N=Dic₃ and Q=C₅xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁(C₅xD₄) = C₅xC₂³.₁₁D₆	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out Dic₃	240		Dic3.1(C5xD4)	480,764
Dic₃.₂(C₅xD₄) = C₅xC₁₂:Q₈	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out Dic₃	480		Dic3.2(C5xD4)	480,767
Dic₃.₃(C₅xD₄) = C₅xS₃xD₈	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.3(C5xD4)	480,789
Dic₃.₄(C₅xD₄) = C₅xS₃xSD₁₆	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.4(C5xD4)	480,792
Dic₃.₅(C₅xD₄) = C₅xS₃xQ₁₆	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.5(C5xD4)	480,796
Dic₃.₆(C₅xD₄) = C₅xDic₃.D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.6(C5xD4)	480,757
Dic₃.₇(C₅xD₄) = C₅xD₆:Q₈	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240		Dic3.7(C5xD4)	480,775
Dic₃.₈(C₅xD₄) = C₅xD₈:S₃	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.8(C5xD4)	480,790
Dic₃.₉(C₅xD₄) = C₅xQ₈:₃D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	120	4	Dic3.9(C5xD4)	480,793
Dic₃.₁₀(C₅xD₄) = C₅xD₄.D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.10(C5xD4)	480,794
Dic₃.₁₁(C₅xD₄) = C₅xQ₁₆:S₃	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out Dic₃	240	4	Dic3.11(C5xD4)	480,797
Dic₃.₁₂(C₅xD₄) = C₅xD₈:₃S₃	φ: trivial image	240	4	Dic3.12(C5xD4)	480,791
Dic₃.₁₃(C₅xD₄) = C₅xQ₈.₇D₆	φ: trivial image	240	4	Dic3.13(C5xD4)	480,795
Dic₃.₁₄(C₅xD₄) = C₅xD₂₄:C₂	φ: trivial image	240	4	Dic3.14(C5xD4)	480,798

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