D₅×C₂₉×C₈₉ #38788811

order	25810
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₅×C₂₉×C₈₉
unambiguous semidirect product	C₅⋊(C₂×C₂₉×C₈₉)

	subgroup	G/H
center, hypercenter	C₂₉×C₈₉	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₂₉×C₈₉
Frattini	C₁	G
Fitting, socle	C₅×C₂₉×C₈₉	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₂₉×C₈₉

16 conjugacy classes of subgroups.

μ_t(G) = 12905

10324 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25810, 5);