C₇₃×D₂₅₇ #49176160

order	37522
automorphism	?
homology	Abelianization (H₁) = C₂×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₇₃×D₂₅₇
unambiguous semidirect product	C₂₅₇⋊(C₂×C₇₃)

Fitting, socle, Hall	C₇₃×C₂₅₇ ⋊ C₂
derived, Sylow	C₂₅₇ ⋊ C₂×C₇₃

	subgroup	G/H
center, hypercenter	C₇₃	D₂₅₇
commutator, cosocle, hypocenter	C₂₅₇	C₂×C₇₃
Frattini	C₁	G
Fitting, socle	C₇₃×C₂₅₇	C₂
LCS	G ▷ C₂₅₇
UCS	C₁ ◁ C₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 18761

9490 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37522, 2);