C₅₉×D₂₅₁ #44444153

order	29618
automorphism	?
homology	Abelianization (H₁) = C₂×C₅₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅₉×D₂₅₁
unambiguous semidirect product	C₂₅₁⋊(C₂×C₅₉)

Fitting, socle, Hall	C₅₉×C₂₅₁ ⋊ C₂
derived, Sylow	C₂₅₁ ⋊ C₂×C₅₉

	subgroup	G/H
center, hypercenter	C₅₉	D₂₅₁
commutator, cosocle, hypocenter	C₂₅₁	C₂×C₅₉
Frattini	C₁	G
Fitting, socle	C₅₉×C₂₅₁	C₂
LCS	G ▷ C₂₅₁
UCS	C₁ ◁ C₅₉

8 conjugacy classes of subgroups.

μ_t(G) = 14809

7493 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29618, 2);