Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³⋊₂D₆

Direct product G=N×Q with N=C₅ and Q=C₂³⋊₂D₆

		d	ρ	Label	ID
C₅×C₂³⋊₂D₆		120		C5xC2^3:2D6	480,816

Semidirect products G=N:Q with N=C₅ and Q=C₂³⋊₂D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³⋊₂D₆) = D₆⋊₄D₂₀	φ: C₂³⋊₂D₆/D₆⋊C₄ → C₂ ⊆ Aut C₅	120		C5:1(C2^3:2D6)	480,550
C₅⋊₂(C₂³⋊₂D₆) = D₃₀⋊₁₈D₄	φ: C₂³⋊₂D₆/C₆.D₄ → C₂ ⊆ Aut C₅	120		C5:2(C2^3:2D6)	480,648
C₅⋊₃(C₂³⋊₂D₆) = D₃₀⋊₈D₄	φ: C₂³⋊₂D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	120		C5:3(C2^3:2D6)	480,653
C₅⋊₄(C₂³⋊₂D₆) = D₃₀⋊₁₇D₄	φ: C₂³⋊₂D₆/C₆×D₄ → C₂ ⊆ Aut C₅	120		C5:4(C2^3:2D6)	480,902
C₅⋊₅(C₂³⋊₂D₆) = C₁₅⋊C₂²≀C₂	φ: C₂³⋊₂D₆/S₃×C₂³ → C₂ ⊆ Aut C₅	120		C5:5(C2^3:2D6)	480,644

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