C₁₇×C₄₉₉ #22555065

order	8483
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₃×C₁₆×C₈₃ (order 7968) · Inn(G) = C₁ · Out(G) = C₂×C₃×C₁₆×C₈₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₄₈₃
abelian	C₁₇×C₄₉₉

4 conjugacy classes of subgroups.

8483 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8483, 1);