C₁₃×D₉×C₁₃₁ #44499809

order	30654
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₉×C₁₃₁
unambiguous semidirect product	C₉⋊(C₂×C₁₃×C₁₃₁)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₃₁	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₃×C₁₃₁
Frattini	C₃	D₃×C₁₃×C₁₃₁
Fitting	C₉×C₁₃×C₁₃₁	C₂
socle	C₃×C₁₃×C₁₃₁	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₃×C₁₃₁

24 conjugacy classes of subgroups.

μ_t(G) = 15327

10218 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30654, 7);