D₉×C₁₉×C₈₃ #43249102

order	28386
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₉×C₈₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₉×C₁₉×C₈₃
unambiguous semidirect product	C₉⋊(C₂×C₁₉×C₈₃)

	subgroup	G/H
center, hypercenter	C₁₉×C₈₃	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₉×C₈₃
Frattini	C₃	D₃×C₁₉×C₈₃
Fitting	C₉×C₁₉×C₈₃	C₂
socle	C₃×C₁₉×C₈₃	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₉×C₈₃

24 conjugacy classes of subgroups.

μ_t(G) = 14193

9462 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28386, 6);