Extensions 1→N→G→Q→1 with N=D₆ and Q=C₅xD₄

Direct product G=NxQ with N=D₆ and Q=C₅xD₄

		d	ρ	Label	ID
S₃xD₄xC₁₀		120		S3xD4xC10	480,1154

Semidirect products G=N:Q with N=D₆ and Q=C₅xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₅xD₄) = C₅xDic₃:D₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out D₆	240		D6:1(C5xD4)	480,763
D₆:₂(C₅xD₄) = C₅xC₁₂:D₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out D₆	240		D6:2(C5xD4)	480,774
D₆:₃(C₅xD₄) = C₅xD₆:₃D₄	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out D₆	240		D6:3(C5xD4)	480,817
D₆:₄(C₅xD₄) = C₅xD₆:D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	120		D6:4(C5xD4)	480,761
D₆:₅(C₅xD₄) = C₅xC₂³:₂D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	120		D6:5(C5xD4)	480,816

Non-split extensions G=N.Q with N=D₆ and Q=C₅xD₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₅xD₄) = C₅xD₈:₃S₃	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.1(C5xD4)	480,791
D₆.₂(C₅xD₄) = C₅xQ₈.₇D₆	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.2(C5xD4)	480,795
D₆.₃(C₅xD₄) = C₅xD₂₄:C₂	φ: C₅xD₄/C₂₀ → C₂ ⊆ Out D₆	240	4	D6.3(C5xD4)	480,798
D₆.₄(C₅xD₄) = C₅xC₂³.₉D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	240		D6.4(C5xD4)	480,762
D₆.₅(C₅xD₄) = C₅xD₆.D₄	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	240		D6.5(C5xD4)	480,773
D₆.₆(C₅xD₄) = C₅xD₈:S₃	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	120	4	D6.6(C5xD4)	480,790
D₆.₇(C₅xD₄) = C₅xQ₈:₃D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	120	4	D6.7(C5xD4)	480,793
D₆.₈(C₅xD₄) = C₅xD₄.D₆	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	240	4	D6.8(C5xD4)	480,794
D₆.₉(C₅xD₄) = C₅xQ₁₆:S₃	φ: C₅xD₄/C₂xC₁₀ → C₂ ⊆ Out D₆	240	4	D6.9(C5xD4)	480,797
D₆.₁₀(C₅xD₄) = C₅xS₃xC₂²:C₄	φ: trivial image	120		D6.10(C5xD4)	480,759
D₆.₁₁(C₅xD₄) = C₅xS₃xC₄:C₄	φ: trivial image	240		D6.11(C5xD4)	480,770
D₆.₁₂(C₅xD₄) = C₅xS₃xD₈	φ: trivial image	120	4	D6.12(C5xD4)	480,789
D₆.₁₃(C₅xD₄) = C₅xS₃xSD₁₆	φ: trivial image	120	4	D6.13(C5xD4)	480,792
D₆.₁₄(C₅xD₄) = C₅xS₃xQ₁₆	φ: trivial image	240	4	D6.14(C5xD4)	480,796

׿

x

:

Z

F

o

wr

Q

<