Extensions 1→N→G→Q→1 with N=D₅ and Q=C₃×C₂²⋊C₄

Direct product G=N×Q with N=D₅ and Q=C₃×C₂²⋊C₄

		d	ρ	Label	ID
C₃×D₅×C₂²⋊C₄		120		C3xD5xC2^2:C4	480,673

Semidirect products G=N:Q with N=D₅ and Q=C₃×C₂²⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₃×C₂²⋊C₄) = C₆×C₂²⋊F₅	φ: C₃×C₂²⋊C₄/C₂²×C₆ → C₂ ⊆ Out D₅	120		D5:(C3xC2^2:C4)	480,1059

Non-split extensions G=N.Q with N=D₅ and Q=C₃×C₂²⋊C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.(C₃×C₂²⋊C₄) = C₃×D₁₀.₃Q₈	φ: C₃×C₂²⋊C₄/C₂×C₁₂ → C₂ ⊆ Out D₅	120		D5.(C3xC2^2:C4)	480,286

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Extensions 1→N→G→Q→1 with N=D5 and Q=C3×C22⋊C4