C₃²×C₅×C₁₃×D₁₇ #34091079

order	19890
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₅×C₁₃ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×C₅×C₁₃×D₁₇
unambiguous semidirect product	C₁₇⋊(C₂×C₃²×C₅×C₁₃)

	subgroup	G/H
center, hypercenter	C₃²×C₅×C₁₃	D₁₇
commutator, cosocle, hypocenter	C₁₇	C₂×C₃²×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₁₇	C₂
LCS	G ▷ C₁₇
UCS	C₁ ◁ C₃²×C₅×C₁₃

96 conjugacy classes of subgroups.

μ_t(G) = 9945

5850 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 64);