C₅²×C₁₉×D₃₃ #44535534

order	31350
automorphism	?
homology	Abelianization (H₁) = C₂×C₅²×C₁₉ · Schur multiplier (H₂) = C₅

Aliases

direct product	C₅²×C₁₉×D₃₃
unambiguous semidirect product	C₃⋊(C₅²×C₁₉×D₁₁)

	subgroup	G/H
center, hypercenter	C₅²×C₁₉	D₃₃
commutator, cosocle, hypocenter	C₃×C₁₁	C₂×C₅²×C₁₉
Frattini	C₁	G
Fitting, socle	C₃×C₅²×C₁₁×C₁₉	C₂
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₅²×C₁₉

128 conjugacy classes of subgroups.

μ_t(G) = 15675

8550 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31350, 107);