D₉×C₁₉×C₇₃ #38735699

order	24966
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₇₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₉×C₇₃
unambiguous semidirect product	C₉⋊(C₂×C₁₉×C₇₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₇₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₉×C₇₃
Frattini	C₃	D₃×C₁₉×C₇₃
Fitting	C₉×C₁₉×C₇₃	C₂
socle	C₃×C₁₉×C₇₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₉×C₇₃

24 conjugacy classes of subgroups.

μ_t(G) = 12483

8322 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24966, 9);