C₅²×D₁₁×C₁₉⋊C₃ #44535508

order	31350
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₅² · Schur multiplier (H₂) = C₅

Aliases

C₅²×D₁₁×C₁₉⋊C₃

	subgroup	G/H
center, hypercenter	C₅²	D₁₁×C₁₉⋊C₃
commutator, cosocle, hypocenter	C₁₁×C₁₉	C₂×C₃×C₅²
Frattini	C₁	G
Fitting, socle	C₅²×C₁₁×C₁₉	C₂×C₃
LCS	G ▷ C₁₁×C₁₉
UCS	C₁ ◁ C₅²

128 conjugacy classes of subgroups.

μ_t(G) = 5225

1575 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31350, 81);