C₃×C₈₉×D₅₅ #44440324

order	29370
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₈₉×D₅₅
unambiguous semidirect product	C₅⋊(C₃×D₁₁×C₈₉)
unambiguous semidirect product	C₁₁⋊(C₃×D₅×C₈₉)

	subgroup	G/H
center, hypercenter	C₃×C₈₉	D₅₅
commutator, cosocle, hypocenter	C₅×C₁₁	C₂×C₃×C₈₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₁×C₈₉	C₂
LCS	G ▷ C₅×C₁₁
UCS	C₁ ◁ C₃×C₈₉

32 conjugacy classes of subgroups.

μ_t(G) = 14685

7743 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29370, 9);