C₂₉×C₂₇₇ #22548765

order	8033
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₃×C₄²×C₇×C₂₃ (order 7728) · Inn(G) = C₁ · Out(G) = C₃×C₄²×C₇×C₂₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₀₃₃
abelian	C₂₉×C₂₇₇

4 conjugacy classes of subgroups.

8033 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8033, 1);