C₃×C₂₈₇₉ #22575671

order	8637
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₁₄₃₉ (order 5756) · Inn(G) = C₁ · Out(G) = C₂²×C₁₄₃₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₈₆₃₇
abelian	C₃×C₂₈₇₉

4 conjugacy classes of subgroups.

8637 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(8637, 1);