C₂×C₅×C₉×C₁₃×C₁₇ #34091016

order	19890
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	?
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

48 conjugacy classes of subgroups.

minimal degree	μ(G) = 46
transitive degree	μ_t(G) = 19890

A minimal faithful permutation representation — 1 generator on 46 points:

(1,2)(3,4,5,6,7,8,9,10,11)(12,13,14,15,16)(17,18,19,20,21,22,23,24,25,26,27,28,29)(30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46)

19890 conjugacy classes. The character table is too large to display.

automorphism group of	C₁₉₈₉₁
outer automorphism group of	C₁₉₈₉₁

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19890, 1);