C₁₉×C₄₄₃ #22554520

order	8417
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₉×C₁₃×C₁₇ (order 7956) · Inn(G) = C₁ · Out(G) = C₂²×C₉×C₁₃×C₁₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₄₁₇
abelian	C₁₉×C₄₄₃

4 conjugacy classes of subgroups.

8417 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8417, 1);