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Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×2₊⁽¹⁺⁴⁾

Direct product G=N×Q with N=C₃ and Q=C₅×2₊⁽¹⁺⁴⁾

		d	ρ	Label	ID
C₁₅×2₊⁽¹⁺⁴⁾		120	4	C15xES+(2,2)	480,1184

Semidirect products G=N:Q with N=C₃ and Q=C₅×2₊⁽¹⁺⁴⁾

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×2₊⁽¹⁺⁴⁾) = C₅×D₄⋊₆D₆	φ: C₅×2₊⁽¹⁺⁴⁾/D₄×C₁₀ → C₂ ⊆ Aut C₃	120	4	C3:1(C5xES+(2,2))	480,1156
C₃⋊₂(C₅×2₊⁽¹⁺⁴⁾) = C₅×D₄○D₁₂	φ: C₅×2₊⁽¹⁺⁴⁾/C₅×C₄○D₄ → C₂ ⊆ Aut C₃	120	4	C3:2(C5xES+(2,2))	480,1161

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Extensions 1→N→G→Q→1 with N=C3 and Q=C5×2+ (1+4)