Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×C₁₂

Direct product G=N×Q with N=C₁₀ and Q=C₃×C₁₂

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

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃×C₁₂) = C₃×C₆×F₅	φ: C₃×C₁₂/C₃² → C₄ ⊆ Aut C₁₀	90		C10:(C3xC12)	360,145
C₁₀⋊₂(C₃×C₁₂) = C₃×C₆×Dic₅	φ: C₃×C₁₂/C₃×C₆ → C₂ ⊆ Aut C₁₀	360		C10:2(C3xC12)	360,93

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃×C₁₂) = C₃²×C₅⋊C₈	φ: C₃×C₁₂/C₃² → C₄ ⊆ Aut C₁₀	360		C10.(C3xC12)	360,52
C₁₀.₂(C₃×C₁₂) = C₃²×C₅⋊₂C₈	φ: C₃×C₁₂/C₃×C₆ → C₂ ⊆ Aut C₁₀	360		C10.2(C3xC12)	360,33

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Extensions 1→N→G→Q→1 with N=C10 and Q=C3×C12