C₅²×D₁₁×D₁₉ #35229895

order	20900
automorphism	?
homology	Abelianization (H₁) = C₂²×C₅² · Schur multiplier (H₂) = C₂×C₅

Aliases

C₅²×D₁₁×D₁₉

	subgroup	G/H
center, hypercenter	C₅²	D₁₁×D₁₉
commutator, cosocle, hypocenter	C₁₁×C₁₉	C₂²×C₅²
Frattini	C₁	G
Fitting, socle	C₅²×C₁₁×C₁₉	C₂²
LCS	G ▷ C₁₁×C₁₉
UCS	C₁ ◁ C₅²

160 conjugacy classes of subgroups.

μ_t(G) = 5225

1925 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(20900, 77);