D₉×C₂₃×C₇₁ #44440549

order	29394
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃×C₇₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₂₃×C₇₁
unambiguous semidirect product	C₉⋊(C₂×C₂₃×C₇₁)

	subgroup	G/H
center, hypercenter	C₂₃×C₇₁	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₂₃×C₇₁
Frattini	C₃	D₃×C₂₃×C₇₁
Fitting	C₉×C₂₃×C₇₁	C₂
socle	C₃×C₂₃×C₇₁	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂₃×C₇₁

24 conjugacy classes of subgroups.

μ_t(G) = 14697

9798 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29394, 5);