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

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

		d	ρ	Label	ID
C₂×C₆₀		120		C2xC60	120,31

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₁₀ = C₅×D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₂	60	2	C12:1C10	120,23
C₁₂⋊₂C₁₀ = S₃×C₂₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₂	60	2	C12:2C10	120,22
C₁₂⋊₃C₁₀ = D₄×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₂	60	2	C12:3C10	120,32

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₁₀ = C₅×Dic₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₂	120	2	C12.1C10	120,21
C₁₂.₂C₁₀ = C₅×C₃⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₂	120	2	C12.2C10	120,1
C₁₂.₃C₁₀ = Q₈×C₁₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₁₂	120	2	C12.3C10	120,33

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