Extensions 1→N→G→Q→1 with N=C₂³xC₆ and Q=C₁₀

Direct product G=NxQ with N=C₂³xC₆ and Q=C₁₀

		d	ρ	Label	ID
C₂⁴xC₃₀		480		C2^4xC30	480,1213

Semidirect products G=N:Q with N=C₂³xC₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆):C₁₀ = S₃xC₂⁴:C₅	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₂³xC₆	30	10+	(C2^3xC6):C10	480,1196
(C₂³xC₆):₂C₁₀ = C₆xC₂⁴:C₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₂³xC₆	30	5	(C2^3xC6):2C10	480,1204
(C₂³xC₆):₃C₁₀ = C₁₅xC₂²wrC₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	120		(C2^3xC6):3C10	480,925
(C₂³xC₆):₄C₁₀ = D₄xC₂xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	240		(C2^3xC6):4C10	480,1181
(C₂³xC₆):₅C₁₀ = C₅xC₂⁴:₄S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	120		(C2^3xC6):5C10	480,832
(C₂³xC₆):₆C₁₀ = C₂xC₁₀xC₃:D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	240		(C2^3xC6):6C10	480,1164
(C₂³xC₆):₇C₁₀ = S₃xC₂³xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	240		(C2^3xC6):7C10	480,1211

Non-split extensions G=N.Q with N=C₂³xC₆ and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³xC₆).₁C₁₀ = C₂²:C₄xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	240		(C2^3xC6).1C10	480,920
(C₂³xC₆).₂C₁₀ = C₁₀xC₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	240		(C2^3xC6).2C10	480,831
(C₂³xC₆).₃C₁₀ = Dic₃xC₂²xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂³xC₆	480		(C2^3xC6).3C10	480,1163

׿

x

:

Z

F

o

wr

Q

<