C₇₉×C₁₀₇ #22554842

order	8453
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₃×C₅₃ (order 8268) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₃×C₅₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₄₅₃
abelian	C₇₉×C₁₀₇

4 conjugacy classes of subgroups.

8453 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8453, 1);