C₁₇×C₄₆₁ #21463197

order	7837
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₄×C₅×C₁₆×C₂₃ (order 7360) · Inn(G) = C₁ · Out(G) = C₄×C₅×C₁₆×C₂₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₈₃₇
abelian	C₁₇×C₄₆₁

4 conjugacy classes of subgroups.

7837 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7837, 1);