C₃₇⋊C₃×C₃₀₇ #46801718

order	34077
automorphism	?
homology	Abelianization (H₁) = C₃×C₃₀₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃₇⋊C₃×C₃₀₇
unambiguous semidirect product	C₃₇⋊(C₃×C₃₀₇)

Fitting, socle, Hall	C₃₇×C₃₀₇ ⋊ C₃
derived, Sylow	C₃₇ ⋊ C₃×C₃₀₇

	subgroup	G/H
center, hypercenter	C₃₀₇	C₃₇⋊C₃
commutator, cosocle, hypocenter	C₃₇	C₃×C₃₀₇
Frattini	C₁	G
Fitting, socle	C₃₇×C₃₀₇	C₃
LCS	G ▷ C₃₇
UCS	C₁ ◁ C₃₀₇

8 conjugacy classes of subgroups.

μ_t(G) = 11359

4605 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34077, 1);