D₅₉×C₂₅₁ #44444152

order	29618
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₅₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₅₉×C₂₅₁
unambiguous semidirect product	C₅₉⋊(C₂×C₂₅₁)

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

	subgroup	G/H
center, hypercenter	C₂₅₁	D₅₉
commutator, cosocle, hypocenter	C₅₉	C₂×C₂₅₁
Frattini	C₁	G
Fitting, socle	C₅₉×C₂₅₁	C₂
LCS	G ▷ C₅₉
UCS	C₁ ◁ C₂₅₁

8 conjugacy classes of subgroups.

μ_t(G) = 14809

7781 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29618, 1);