D₉×C₂₉×C₄₃ #36376292

order	22446
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉×C₄₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₂₉×C₄₃
unambiguous semidirect product	C₉⋊(C₂×C₂₉×C₄₃)

	subgroup	G/H
center, hypercenter	C₂₉×C₄₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₂₉×C₄₃
Frattini	C₃	D₃×C₂₉×C₄₃
Fitting	C₉×C₂₉×C₄₃	C₂
socle	C₃×C₂₉×C₄₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂₉×C₄₃

24 conjugacy classes of subgroups.

μ_t(G) = 11223

7482 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22446, 6);