Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂⁴⋊C₅

Direct product G=N×Q with N=C₅ and Q=C₂⁴⋊C₅

		d	ρ	Label	ID
C₅×C₂⁴⋊C₅		50	5	C5xC2^4:C5	400,213

Non-split extensions G=N.Q with N=C₅ and Q=C₂⁴⋊C₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂⁴⋊C₅) = C₂⁴⋊C₂₅	central extension (φ=1)	50	5	C5.(C2^4:C5)	400,52

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C5 and Q=C24⋊C5