C₃²×D₅×C₁₃×C₁₇ #34091076

order	19890
automorphism	?
homology	Abelianization (H₁) = C₂×C₃²×C₁₃×C₁₇ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃²×D₅×C₁₃×C₁₇
unambiguous semidirect product	C₅⋊(C₂×C₃²×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₃²×C₁₃×C₁₇	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃²×C₁₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₃²×C₅×C₁₃×C₁₇	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃²×C₁₃×C₁₇

96 conjugacy classes of subgroups.

μ_t(G) = 9945

7956 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 61);