Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₁₂

Direct product G=NxQ with N=C₁₀ and Q=C₁₂

		d	ρ	Label	ID
C₂xC₆₀		120		C2xC60	120,31

Semidirect products G=N:Q with N=C₁₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:C₁₂ = C₆xF₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₀	30	4	C10:C12	120,40
C₁₀:₂C₁₂ = C₆xDic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₀	120		C10:2C12	120,19

Non-split extensions G=N.Q with N=C₁₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.C₁₂ = C₃xC₅:C₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₀	120	4	C10.C12	120,6
C₁₀.₂C₁₂ = C₃xC₅:₂C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₀	120	2	C10.2C12	120,2

Extensions 1→N→G→Q→1 with N=C10 and Q=C12