C₂₃²×C₅⋊D₅ #40996295

order	26450
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃² · Schur multiplier (H₂) = C₅×C₂₃

Aliases

direct product	C₂₃²×C₅⋊D₅
unambiguous semidirect product	C₅⋊(D₅×C₂₃²)

Fitting, socle, Hall	C₅²×C₂₃² ⋊ C₂
derived, Sylow	C₅² ⋊ C₂×C₂₃²

	subgroup	G/H
center, hypercenter	C₂₃²	C₅⋊D₅
commutator, cosocle, hypocenter	C₅²	C₂×C₂₃²
Frattini	C₁	G
Fitting, socle	C₅²×C₂₃²	C₂
LCS	G ▷ C₅²
UCS	C₁ ◁ C₂₃²

416 conjugacy classes of subgroups.

μ_t(G) = 13225

7406 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26450, 23);