C₃²×C₁₉×D₈₃ #43249122

order	28386
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×C₁₉×D₈₃
unambiguous semidirect product	C₈₃⋊(C₂×C₃²×C₁₉)

	subgroup	G/H
center, hypercenter	C₃²×C₁₉	D₈₃
commutator, cosocle, hypocenter	C₈₃	C₂×C₃²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃²×C₁₉×C₈₃	C₂
LCS	G ▷ C₈₃
UCS	C₁ ◁ C₃²×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 14193

7353 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28386, 26);