Extensions 1→N→G→Q→1 with N=C₃ and Q=C₈⋊D₁₀

Direct product G=N×Q with N=C₃ and Q=C₈⋊D₁₀

		d	ρ	Label	ID
C₃×C₈⋊D₁₀		120	4	C3xC8:D10	480,701

Semidirect products G=N:Q with N=C₃ and Q=C₈⋊D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₈⋊D₁₀) = C₄₀⋊₁D₆	φ: C₈⋊D₁₀/C₄₀⋊C₂ → C₂ ⊆ Aut C₃	120	4+	C3:1(C8:D10)	480,329
C₃⋊₂(C₈⋊D₁₀) = D₄₀⋊S₃	φ: C₈⋊D₁₀/D₄₀ → C₂ ⊆ Aut C₃	120	4	C3:2(C8:D10)	480,330
C₃⋊₃(C₈⋊D₁₀) = C₈⋊D₃₀	φ: C₈⋊D₁₀/C₅×M₄(2) → C₂ ⊆ Aut C₃	120	4+	C3:3(C8:D10)	480,873
C₃⋊₄(C₈⋊D₁₀) = D₆₀⋊₃₀C₂²	φ: C₈⋊D₁₀/C₂×D₂₀ → C₂ ⊆ Aut C₃	120	4	C3:4(C8:D10)	480,388
C₃⋊₅(C₈⋊D₁₀) = D₂₀⋊₁₉D₆	φ: C₈⋊D₁₀/C₄○D₂₀ → C₂ ⊆ Aut C₃	120	4+	C3:5(C8:D10)	480,377

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