C₃×C₃₇×D₁₃₃ #44443287

order	29526
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₃₇ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₃₇×D₁₃₃

	subgroup	G/H
center, hypercenter	C₃×C₃₇	D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂×C₃×C₃₇
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₇	C₂
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₃×C₃₇

32 conjugacy classes of subgroups.

μ_t(G) = 14763

7548 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29526, 20);