C₁₃×D₉×C₁₅₁ #47977458

order	35334
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₅₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₉×C₁₅₁
unambiguous semidirect product	C₉⋊(C₂×C₁₃×C₁₅₁)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₅₁	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₃×C₁₅₁
Frattini	C₃	D₃×C₁₃×C₁₅₁
Fitting	C₉×C₁₃×C₁₅₁	C₂
socle	C₃×C₁₃×C₁₅₁	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₃×C₁₅₁

24 conjugacy classes of subgroups.

μ_t(G) = 17667

11778 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35334, 9);