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

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

		d	ρ	Label	ID
C₂×C₆₀		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 = C₆×F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₀	30	4	C10:C12	120,40
C₁₀⋊₂C₁₂ = C₆×Dic₅	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 = C₃×C₅⋊C₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₁₀	120	4	C10.C12	120,6
C₁₀.₂C₁₂ = C₃×C₅⋊₂C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₁₀	120	2	C10.2C12	120,2

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