C₁₁×D₁₅×C₈₉ #44440330

order	29370
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₁×C₈₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₁×D₁₅×C₈₉
unambiguous semidirect product	C₃⋊(D₅×C₁₁×C₈₉)
unambiguous semidirect product	C₅⋊(D₃×C₁₁×C₈₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₈₉	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₁₁×C₈₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₁×C₈₉	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₁₁×C₈₉

32 conjugacy classes of subgroups.

μ_t(G) = 14685

8811 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29370, 15);