Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×C₄⋊D₄

Direct product G=N×Q with N=C₃ and Q=C₅×C₄⋊D₄

		d	ρ	Label	ID
C₁₅×C₄⋊D₄		240		C15xC4:D4	480,926

Semidirect products G=N:Q with N=C₃ and Q=C₅×C₄⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×C₄⋊D₄) = C₅×Dic₃⋊D₄	φ: C₅×C₄⋊D₄/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:1(C5xC4:D4)	480,763
C₃⋊₂(C₅×C₄⋊D₄) = C₅×C₁₂⋊D₄	φ: C₅×C₄⋊D₄/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C5xC4:D4)	480,774
C₃⋊₃(C₅×C₄⋊D₄) = C₅×C₁₂⋊₇D₄	φ: C₅×C₄⋊D₄/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:3(C5xC4:D4)	480,809
C₃⋊₄(C₅×C₄⋊D₄) = C₅×D₆⋊₃D₄	φ: C₅×C₄⋊D₄/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:4(C5xC4:D4)	480,817
C₃⋊₅(C₅×C₄⋊D₄) = C₅×C₂³.₁₄D₆	φ: C₅×C₄⋊D₄/D₄×C₁₀ → C₂ ⊆ Aut C₃	240		C3:5(C5xC4:D4)	480,818

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