Extensions 1→N→G→Q→1 with N=C₃×D₅ and Q=C₂⁴

Direct product G=N×Q with N=C₃×D₅ and Q=C₂⁴

		d	ρ	Label	ID
D₅×C₂³×C₆		240		D5xC2^3xC6	480,1210

Semidirect products G=N:Q with N=C₃×D₅ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₅)⋊C₂⁴ = S₃×C₂³×D₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out C₃×D₅	120		(C3xD5):C2^4	480,1207

Non-split extensions G=N.Q with N=C₃×D₅ and Q=C₂⁴

extension	φ:Q→Out N	d	Label	ID
(C₃×D₅).C₂⁴ = C₂²×S₃×F₅	φ: C₂⁴/C₂² → C₂² ⊆ Out C₃×D₅	60	(C3xD5).C2^4	480,1197
(C₃×D₅).₂C₂⁴ = C₂³×C₃⋊F₅	φ: C₂⁴/C₂³ → C₂ ⊆ Out C₃×D₅	120	(C3xD5).2C2^4	480,1206
(C₃×D₅).₃C₂⁴ = F₅×C₂²×C₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out C₃×D₅	120	(C3xD5).3C2^4	480,1205

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Extensions 1→N→G→Q→1 with N=C3×D5 and Q=C24