Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×C₂²⋊C₄

Direct product G=N×Q with N=C₃ and Q=C₅×C₂²⋊C₄

		d	ρ	Label	ID
C₁₅×C₂²⋊C₄		120		C15xC2^2:C4	240,82

Semidirect products G=N:Q with N=C₃ and Q=C₅×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×C₂²⋊C₄) = C₅×D₆⋊C₄	φ: C₅×C₂²⋊C₄/C₂×C₂₀ → C₂ ⊆ Aut C₃	120		C3:1(C5xC2^2:C4)	240,59
C₃⋊₂(C₅×C₂²⋊C₄) = C₅×C₆.D₄	φ: C₅×C₂²⋊C₄/C₂²×C₁₀ → C₂ ⊆ Aut C₃	120		C3:2(C5xC2^2:C4)	240,64

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