C₃×C₂₈₅₁ #22555609

order	8553
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₉×C₂₅ (order 5700) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₉×C₂₅
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₅₅₃
abelian	C₃×C₂₈₅₁

4 conjugacy classes of subgroups.

8553 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8553, 2);