C₃²×C₁₇×D₆₅ #34091074

order	19890
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×C₁₇×D₆₅
unambiguous semidirect product	C₅⋊(C₃²×C₁₇×D₁₃)

	subgroup	G/H
center, hypercenter	C₃²×C₁₇	D₆₅
commutator, cosocle, hypocenter	C₅×C₁₃	C₂×C₃²×C₁₇
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₁₇	C₂
LCS	G ▷ C₅×C₁₃
UCS	C₁ ◁ C₃²×C₁₇

96 conjugacy classes of subgroups.

μ_t(G) = 9945

5202 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 59);