C₈₃×C₈₉ #20301687

order	7387
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₈×C₁₁×C₄₁ (order 7216) · Inn(G) = C₁ · Out(G) = C₂×C₈×C₁₁×C₄₁
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₃₈₇
abelian	C₈₃×C₈₉

4 conjugacy classes of subgroups.

7387 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7387, 1);