Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄xC₁₂

Direct product G=NxQ with N=C₅ and Q=C₄xC₁₂

		d	ρ	Label	ID
C₄xC₆₀		240		C4xC60	240,81

Semidirect products G=N:Q with N=C₅ and Q=C₄xC₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:(C₄xC₁₂) = C₁₂xF₅	φ: C₄xC₁₂/C₁₂ → C₄ ⊆ Aut C₅	60	4	C5:(C4xC12)	240,113
C₅:₂(C₄xC₁₂) = C₁₂xDic₅	φ: C₄xC₁₂/C₂xC₁₂ → C₂ ⊆ Aut C₅	240		C5:2(C4xC12)	240,40

׿

x

:

Z

F

o

wr

Q

<