C₃×C₈₉×C₄₃⋊C₃ #46827919

order	34443
automorphism	?
homology	Abelianization (H₁) = C₃²×C₈₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃×C₈₉×C₄₃⋊C₃
unambiguous semidirect product	C₄₃⋊(C₃²×C₈₉)
unambiguous semidirect product	(C₃×C₄₃)⋊(C₃×C₈₉)
unambiguous semidirect product	(C₄₃×C₈₉)⋊C₃²
unambiguous semidirect product	(C₃×C₄₃×C₈₉)⋊C₃

	subgroup	G/H
center, hypercenter	C₃×C₈₉	C₄₃⋊C₃
commutator, cosocle, hypocenter	C₄₃	C₃²×C₈₉
Frattini	C₁	G
Fitting, socle	C₃×C₄₃×C₈₉	C₃
LCS	G ▷ C₄₃
UCS	C₁ ◁ C₃×C₈₉

24 conjugacy classes of subgroups.

μ_t(G) = 11481

4539 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34443, 4);