C₃₁⋊C₃×C₃₃₇ #44531365

order	31341
automorphism	?
homology	Abelianization (H₁) = C₃×C₃₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃₁⋊C₃×C₃₃₇
unambiguous semidirect product	C₃₁⋊(C₃×C₃₃₇)

Fitting, socle, Hall	C₃₁×C₃₃₇ ⋊ C₃
derived, Sylow	C₃₁ ⋊ C₃×C₃₃₇

	subgroup	G/H
center, hypercenter	C₃₃₇	C₃₁⋊C₃
commutator, cosocle, hypocenter	C₃₁	C₃×C₃₃₇
Frattini	C₁	G
Fitting, socle	C₃₁×C₃₃₇	C₃
LCS	G ▷ C₃₁
UCS	C₁ ◁ C₃₃₇

8 conjugacy classes of subgroups.

μ_t(G) = 10447

4381 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31341, 1);