C₃×C₃₁×D₁₃₃ #37613100

order	24738
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₃₁×D₁₃₃

	subgroup	G/H
center, hypercenter	C₃×C₃₁	D₁₃₃
commutator, cosocle, hypocenter	C₇×C₁₉	C₂×C₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₉×C₃₁	C₂
LCS	G ▷ C₇×C₁₉
UCS	C₁ ◁ C₃×C₃₁

32 conjugacy classes of subgroups.

μ_t(G) = 12369

6324 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24738, 20);