Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₃⋊D₄

		d	ρ	Label	ID
C₅×C₃⋊D₄		60	2	C5xC3:D4	120,25

Semidirect products G=N:Q with N=C₅ and Q=C₃⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃⋊D₄) = C₃⋊D₂₀	φ: C₃⋊D₄/Dic₃ → C₂ ⊆ Aut C₅	60	4+	C5:1(C3:D4)	120,12
C₅⋊₂(C₃⋊D₄) = C₁₅⋊D₄	φ: C₃⋊D₄/D₆ → C₂ ⊆ Aut C₅	60	4-	C5:2(C3:D4)	120,11
C₅⋊₃(C₃⋊D₄) = C₁₅⋊₇D₄	φ: C₃⋊D₄/C₂×C₆ → C₂ ⊆ Aut C₅	60	2	C5:3(C3:D4)	120,30

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