C₅×C₁₅₄₉ #21440976

order	7745
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₄²×C₉×C₄₃ (order 6192) · Inn(G) = C₁ · Out(G) = C₄²×C₉×C₄₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₇₄₅
abelian	C₅×C₁₅₄₉

4 conjugacy classes of subgroups.

7745 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7745, 1);