C₅×C₁₆₀₉ #22548842

order	8045
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₃×C₄×C₈×C₆₇ (order 6432) · Inn(G) = C₁ · Out(G) = C₃×C₄×C₈×C₆₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₀₄₅
abelian	C₅×C₁₆₀₉

4 conjugacy classes of subgroups.

8045 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8045, 1);