C₅×C₃⋊D₃×C₁₉² #44570632

order	32490
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉² · Schur multiplier (H₂) = C₃×C₁₉

Aliases

direct product	C₅×C₃⋊D₃×C₁₉²
unambiguous semidirect product	C₃⋊(C₅×D₃×C₁₉²)

	subgroup	G/H
center, hypercenter	C₅×C₁₉²	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₅×C₁₉²
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₉²	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₅×C₁₉²

528 conjugacy classes of subgroups.

μ_t(G) = 16245

10830 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32490, 216);