C₇₁×D₂₂₉ #45654181

order	32518
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₁×D₂₂₉
unambiguous semidirect product	C₂₂₉⋊(C₂×C₇₁)

Fitting, socle, Hall	C₇₁×C₂₂₉ ⋊ C₂
derived, Sylow	C₂₂₉ ⋊ C₂×C₇₁

	subgroup	G/H
center, hypercenter	C₇₁	D₂₂₉
commutator, cosocle, hypocenter	C₂₂₉	C₂×C₇₁
Frattini	C₁	G
Fitting, socle	C₇₁×C₂₂₉	C₂
LCS	G ▷ C₂₂₉
UCS	C₁ ◁ C₇₁

8 conjugacy classes of subgroups.

μ_t(G) = 16259

8236 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32518, 2);