D₉×C₂₃×C₅₃ #36346755

order	21942
automorphism	?
homology	Abelianization (H₁) = C₂×C₂₃×C₅₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₂₃×C₅₃
unambiguous semidirect product	C₉⋊(C₂×C₂₃×C₅₃)

	subgroup	G/H
center, hypercenter	C₂₃×C₅₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₂₃×C₅₃
Frattini	C₃	D₃×C₂₃×C₅₃
Fitting	C₉×C₂₃×C₅₃	C₂
socle	C₃×C₂₃×C₅₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₂₃×C₅₃

24 conjugacy classes of subgroups.

μ_t(G) = 10971

7314 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21942, 5);