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

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

		d	ρ	Label	ID
C₃×D₅×C₄⋊C₄		240		C3xD5xC4:C4	480,684

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅⋊(C₃×C₄⋊C₄) = C₆×C₄⋊F₅	φ: C₃×C₄⋊C₄/C₂×C₁₂ → C₂ ⊆ Out D₅	120		D5:(C3xC4:C4)	480,1051

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.(C₃×C₄⋊C₄) = C₃×D₁₀.₃Q₈	φ: C₃×C₄⋊C₄/C₂×C₁₂ → C₂ ⊆ Out D₅	120		D5.(C3xC4:C4)	480,286

⋊

ℤ

𝔽

○

≀

ℚ

◁

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