C₅×C₁₉×C₁₁⋊D₁₁ #37527397

order	22990
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁₁

Aliases

C₅×C₁₉×C₁₁⋊D₁₁

	subgroup	G/H
center, hypercenter	C₅×C₁₉	C₁₁⋊D₁₁
commutator, cosocle, hypocenter	C₁₁²	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₁²×C₁₉	C₂
LCS	G ▷ C₁₁²
UCS	C₁ ◁ C₅×C₁₉

112 conjugacy classes of subgroups.

μ_t(G) = 11495

5890 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22990, 47);