C₇₃×C₁₁₃ #22551864

order	8249
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₇×C₈×C₉×C₁₆ (order 8064) · Inn(G) = C₁ · Out(G) = C₇×C₈×C₉×C₁₆
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₂₄₉
abelian	C₇₃×C₁₁₃

4 conjugacy classes of subgroups.

8249 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8249, 1);