C₃₇×C₂₃₉ #22579587

order	8843
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂×C₄×C₇×C₉×C₁₇ (order 8568) · Inn(G) = C₁ · Out(G) = C₂×C₄×C₇×C₉×C₁₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₈₄₃
abelian	C₃₇×C₂₃₉

4 conjugacy classes of subgroups.

8843 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8843, 1);