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

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

		d	ρ	Label	ID
C₃×C₅⋊D₄		60	2	C3xC5:D4	120,20

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅⋊D₄) = C₅⋊D₁₂	φ: C₅⋊D₄/Dic₅ → C₂ ⊆ Aut C₃	60	4+	C3:1(C5:D4)	120,13
C₃⋊₂(C₅⋊D₄) = C₁₅⋊D₄	φ: C₅⋊D₄/D₁₀ → C₂ ⊆ Aut C₃	60	4-	C3:2(C5:D4)	120,11
C₃⋊₃(C₅⋊D₄) = C₁₅⋊₇D₄	φ: C₅⋊D₄/C₂×C₁₀ → C₂ ⊆ Aut C₃	60	2	C3:3(C5:D4)	120,30

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