D₇₃×C₂₅₇ #49176159

order	37522
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₅₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₇₃×C₂₅₇
unambiguous semidirect product	C₇₃⋊(C₂×C₂₅₇)

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

	subgroup	G/H
center, hypercenter	C₂₅₇	D₇₃
commutator, cosocle, hypocenter	C₇₃	C₂×C₂₅₇
Frattini	C₁	G
Fitting, socle	C₇₃×C₂₅₇	C₂
LCS	G ▷ C₇₃
UCS	C₁ ◁ C₂₅₇

8 conjugacy classes of subgroups.

μ_t(G) = 18761

9766 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37522, 1);