Extensions 1→N→G→Q→1 with N=C₁₂ and Q=C₃₀

Direct product G=N×Q with N=C₁₂ and Q=C₃₀

		d	ρ	Label	ID
C₆×C₆₀		360		C6xC60	360,115

Semidirect products G=N:Q with N=C₁₂ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂⋊₁C₃₀ = C₁₅×D₁₂	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:1C30	360,97
C₁₂⋊₂C₃₀ = S₃×C₆₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12:2C30	360,96
C₁₂⋊₃C₃₀ = D₄×C₃×C₁₅	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	180		C12:3C30	360,116

Non-split extensions G=N.Q with N=C₁₂ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₂.₁C₃₀ = C₁₅×Dic₆	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.1C30	360,95
C₁₂.₂C₃₀ = C₁₅×C₃⋊C₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	120	2	C12.2C30	360,34
C₁₂.₃C₃₀ = D₄×C₄₅	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	180	2	C12.3C30	360,31
C₁₂.₄C₃₀ = Q₈×C₄₅	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	360	2	C12.4C30	360,32
C₁₂.₅C₃₀ = Q₈×C₃×C₁₅	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₁₂	360		C12.5C30	360,117

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