D₉×C₂₉×C₄₇ #37589292

order	24534
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₉×C₄₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₂₉×C₄₇
unambiguous semidirect product	C₉⋊(C₂×C₂₉×C₄₇)

	subgroup	G/H
center, hypercenter	C₂₉×C₄₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₂₉×C₄₇
Frattini	C₃	D₃×C₂₉×C₄₇
Fitting	C₉×C₂₉×C₄₇	C₂
socle	C₃×C₂₉×C₄₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂₉×C₄₇

24 conjugacy classes of subgroups.

μ_t(G) = 12267

8178 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24534, 5);