Extensions 1→N→G→Q→1 with N=D₅ and Q=C₃×Q₁₆

Direct product G=N×Q with N=D₅ and Q=C₃×Q₁₆

		d	ρ	Label	ID
C₃×D₅×Q₁₆		240	4	C3xD5xQ16	480,710

Non-split extensions G=N.Q with N=D₅ and Q=C₃×Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
D₅.₁(C₃×Q₁₆) = C₃×D₅.D₈	φ: C₃×Q₁₆/C₂₄ → C₂ ⊆ Out D₅	120	4	D5.1(C3xQ16)	480,274
D₅.₂(C₃×Q₁₆) = C₃×Q₈⋊F₅	φ: C₃×Q₁₆/C₃×Q₈ → C₂ ⊆ Out D₅	120	8	D5.2(C3xQ16)	480,289

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁