Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄⋊Dic₃

Direct product G=N×Q with N=C₅ and Q=C₄⋊Dic₃

		d	ρ	Label	ID
C₅×C₄⋊Dic₃		240		C5xC4:Dic3	240,58

Semidirect products G=N:Q with N=C₅ and Q=C₄⋊Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄⋊Dic₃) = C₆₀⋊C₄	φ: C₄⋊Dic₃/C₁₂ → C₄ ⊆ Aut C₅	60	4	C5:(C4:Dic3)	240,121
C₅⋊₂(C₄⋊Dic₃) = C₃₀.Q₈	φ: C₄⋊Dic₃/C₂×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C4:Dic3)	240,29
C₅⋊₃(C₄⋊Dic₃) = C₆₀⋊₅C₄	φ: C₄⋊Dic₃/C₂×C₁₂ → C₂ ⊆ Aut C₅	240		C5:3(C4:Dic3)	240,74

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