Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂xDic₅

Direct product G=NxQ with N=D₆ and Q=C₂xDic₅

		d	ρ	Label	ID
C₂²xS₃xDic₅		240		C2^2xS3xDic5	480,1115

Semidirect products G=N:Q with N=D₆ and Q=C₂xDic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆:₁(C₂xDic₅) = Dic₅xD₁₂	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:1(C2xDic5)	480,491
D₆:₂(C₂xDic₅) = Dic₁₅:₈D₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:2(C2xDic5)	480,511
D₆:₃(C₂xDic₅) = Dic₅xC₃:D₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:3(C2xDic5)	480,627
D₆:₄(C₂xDic₅) = Dic₁₅:₁₇D₄	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out D₆	240		D6:4(C2xDic5)	480,636
D₆:₅(C₂xDic₅) = C₂xD₆:Dic₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out D₆	240		D6:5(C2xDic5)	480,614
D₆:₆(C₂xDic₅) = S₃xC₂³.D₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out D₆	120		D6:6(C2xDic5)	480,630

Non-split extensions G=N.Q with N=D₆ and Q=C₂xDic₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁(C₂xDic₅) = D₁₂.₂Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out D₆	240	4	D6.1(C2xDic5)	480,362
D₆.₂(C₂xDic₅) = D₁₂.Dic₅	φ: C₂xDic₅/Dic₅ → C₂ ⊆ Out D₆	240	4	D6.2(C2xDic5)	480,364
D₆.₃(C₂xDic₅) = C₂xD₆.Dic₅	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out D₆	240		D6.3(C2xDic5)	480,370
D₆.₄(C₂xDic₅) = (S₃xC₂₀):₅C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out D₆	240		D6.4(C2xDic5)	480,414
D₆.₅(C₂xDic₅) = (S₃xC₂₀):₇C₄	φ: C₂xDic₅/C₂xC₁₀ → C₂ ⊆ Out D₆	240		D6.5(C2xDic5)	480,447
D₆.₆(C₂xDic₅) = C₂xS₃xC₅:₂C₈	φ: trivial image	240		D6.6(C2xDic5)	480,361
D₆.₇(C₂xDic₅) = S₃xC₄.Dic₅	φ: trivial image	120	4	D6.7(C2xDic5)	480,363
D₆.₈(C₂xDic₅) = C₄xS₃xDic₅	φ: trivial image	240		D6.8(C2xDic5)	480,473
D₆.₉(C₂xDic₅) = S₃xC₄:Dic₅	φ: trivial image	240		D6.9(C2xDic5)	480,502

׿

x

:

Z

F

o

wr

Q

<