D₃₁×C₃₇₃ #37528890

order	23126
automorphism	?
homology	Abelianization (H₁) = C₂×C₃₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃₁×C₃₇₃
unambiguous semidirect product	C₃₁⋊(C₂×C₃₇₃)

Fitting, socle, Hall	C₃₁×C₃₇₃ ⋊ C₂
derived, Sylow	C₃₁ ⋊ C₂×C₃₇₃

	subgroup	G/H
center, hypercenter	C₃₇₃	D₃₁
commutator, cosocle, hypocenter	C₃₁	C₂×C₃₇₃
Frattini	C₁	G
Fitting, socle	C₃₁×C₃₇₃	C₂
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₃₇₃

8 conjugacy classes of subgroups.

μ_t(G) = 11563

6341 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(23126, 3);