Extensions 1→N→G→Q→1 with N=C₅ and Q=D₆⋊C₄

Direct product G=N×Q with N=C₅ and Q=D₆⋊C₄

		d	ρ	Label	ID
C₅×D₆⋊C₄		120		C5xD6:C4	240,59

Semidirect products G=N:Q with N=C₅ and Q=D₆⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(D₆⋊C₄) = D₆⋊F₅	φ: D₆⋊C₄/D₆ → C₄ ⊆ Aut C₅	60	8+	C5:(D6:C4)	240,96
C₅⋊₂(D₆⋊C₄) = D₃₀⋊₄C₄	φ: D₆⋊C₄/C₂×Dic₃ → C₂ ⊆ Aut C₅	120		C5:2(D6:C4)	240,28
C₅⋊₃(D₆⋊C₄) = D₃₀⋊₃C₄	φ: D₆⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₅	120		C5:3(D6:C4)	240,75
C₅⋊₄(D₆⋊C₄) = D₆⋊Dic₅	φ: D₆⋊C₄/C₂²×S₃ → C₂ ⊆ Aut C₅	120		C5:4(D6:C4)	240,27

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