Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃×Q₈

Direct product G=N×Q with N=C₁₀ and Q=C₃×Q₈

		d	ρ	Label	ID
Q₈×C₃₀		240		Q8xC30	240,187

Semidirect products G=N:Q with N=C₁₀ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₃×Q₈) = C₆×Dic₁₀	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₀	240		C10:(C3xQ8)	240,155

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃×Q₈

extension	φ:Q→Aut N	d	Label	ID
C₁₀.₁(C₃×Q₈) = C₃×C₁₀.D₄	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₀	240	C10.1(C3xQ8)	240,41
C₁₀.₂(C₃×Q₈) = C₃×C₄⋊Dic₅	φ: C₃×Q₈/C₁₂ → C₂ ⊆ Aut C₁₀	240	C10.2(C3xQ8)	240,42
C₁₀.₃(C₃×Q₈) = C₁₅×C₄⋊C₄	central extension (φ=1)	240	C10.3(C3xQ8)	240,83

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Extensions 1→N→G→Q→1 with N=C10 and Q=C3×Q8