C₁₃×D₉×C₁₃₇ #44545384

order	32058
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₃₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₉×C₁₃₇
unambiguous semidirect product	C₉⋊(C₂×C₁₃×C₁₃₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₃₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₃×C₁₃₇
Frattini	C₃	D₃×C₁₃×C₁₃₇
Fitting	C₉×C₁₃×C₁₃₇	C₂
socle	C₃×C₁₃×C₁₃₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₃×C₁₃₇

24 conjugacy classes of subgroups.

μ_t(G) = 16029

10686 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32058, 6);