C₃×C₂₆₄₇ #22547267

order	7941
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₂₇×C₄₉ (order 5292) · Inn(G) = C₁ · Out(G) = C₂²×C₂₇×C₄₉
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₉₄₁
abelian	C₃×C₂₆₄₇

4 conjugacy classes of subgroups.

7941 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7941, 2);