Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₂xC₁₀

Direct product G=NxQ with N=Dic₆ and Q=C₂xC₁₀

		d	ρ	Label	ID
C₂xC₁₀xDic₆		480		C2xC10xDic6	480,1150

Semidirect products G=N:Q with N=Dic₆ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆:₁(C₂xC₁₀) = C₅xD₈:S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out Dic₆	120	4	Dic6:1(C2xC10)	480,790
Dic₆:₂(C₂xC₁₀) = C₅xS₃xSD₁₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out Dic₆	120	4	Dic6:2(C2xC10)	480,792
Dic₆:₃(C₂xC₁₀) = C₁₀xC₂₄:C₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:3(C2xC10)	480,781
Dic₆:₄(C₂xC₁₀) = C₅xC₈:D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:4(C2xC10)	480,787
Dic₆:₅(C₂xC₁₀) = C₅xD₁₂:₆C₂²	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:5(C2xC10)	480,811
Dic₆:₆(C₂xC₁₀) = C₁₀xD₄.S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:6(C2xC10)	480,812
Dic₆:₇(C₂xC₁₀) = C₁₀xD₄:₂S₃	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:7(C2xC10)	480,1155
Dic₆:₈(C₂xC₁₀) = C₅xD₄:₆D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:8(C2xC10)	480,1156
Dic₆:₉(C₂xC₁₀) = S₃xQ₈xC₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240		Dic6:9(C2xC10)	480,1157
Dic₆:₁₀(C₂xC₁₀) = C₅xS₃xC₄oD₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	120	4	Dic6:10(C2xC10)	480,1160
Dic₆:₁₁(C₂xC₁₀) = C₁₀xC₄oD₁₂	φ: trivial image	240		Dic6:11(C2xC10)	480,1153
Dic₆:₁₂(C₂xC₁₀) = C₅xD₄oD₁₂	φ: trivial image	120	4	Dic6:12(C2xC10)	480,1161

Non-split extensions G=N.Q with N=Dic₆ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁(C₂xC₁₀) = C₅xD₈:₃S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.1(C2xC10)	480,791
Dic₆.₂(C₂xC₁₀) = C₅xD₄.D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.2(C2xC10)	480,794
Dic₆.₃(C₂xC₁₀) = C₅xQ₈.₇D₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.3(C2xC10)	480,795
Dic₆.₄(C₂xC₁₀) = C₅xS₃xQ₁₆	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.4(C2xC10)	480,796
Dic₆.₅(C₂xC₁₀) = C₅xQ₁₆:S₃	φ: C₂xC₁₀/C₅ → C₂² ⊆ Out Dic₆	240	4	Dic6.5(C2xC10)	480,797
Dic₆.₆(C₂xC₁₀) = C₅xC₄oD₂₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	2	Dic6.6(C2xC10)	480,783
Dic₆.₇(C₂xC₁₀) = C₁₀xDic₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6.7(C2xC10)	480,784
Dic₆.₈(C₂xC₁₀) = C₅xC₈.D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.8(C2xC10)	480,788
Dic₆.₉(C₂xC₁₀) = C₅xQ₈.₁₁D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.9(C2xC10)	480,821
Dic₆.₁₀(C₂xC₁₀) = C₁₀xC₃:Q₁₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	480		Dic6.10(C2xC10)	480,822
Dic₆.₁₁(C₂xC₁₀) = C₅xQ₈.₁₃D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.11(C2xC10)	480,829
Dic₆.₁₂(C₂xC₁₀) = C₅xQ₈.₁₄D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.12(C2xC10)	480,830
Dic₆.₁₃(C₂xC₁₀) = C₅xQ₈.₁₅D₆	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.13(C2xC10)	480,1159
Dic₆.₁₄(C₂xC₁₀) = C₅xQ₈oD₁₂	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₆	240	4	Dic6.14(C2xC10)	480,1162

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