C₃₇×C₃₃₇⋊C₃ #49153441

order	37407
automorphism	?
homology	Abelianization (H₁) = C₃×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃₇×C₃₃₇⋊C₃
unambiguous semidirect product	C₃₃₇⋊(C₃×C₃₇)

Fitting, socle, Hall	C₃₇×C₃₃₇ ⋊ C₃
derived, Sylow	C₃₃₇ ⋊ C₃×C₃₇

	subgroup	G/H
center, hypercenter	C₃₇	C₃₃₇⋊C₃
commutator, cosocle, hypocenter	C₃₃₇	C₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₃₇×C₃₃₇	C₃
LCS	G ▷ C₃₃₇
UCS	C₁ ◁ C₃₇

8 conjugacy classes of subgroups.

μ_t(G) = 12469

4255 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37407, 2);