C₂₃×C₃₄₇ #22547765

order	7981
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₁₁×C₁₇₃ (order 7612) · Inn(G) = C₁ · Out(G) = C₂²×C₁₁×C₁₇₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₉₈₁
abelian	C₂₃×C₃₄₇

4 conjugacy classes of subgroups.

7981 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7981, 1);