C₃×C₂₄₂₃ #20300362

order	7269
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₇×C₁₇₃ (order 4844) · Inn(G) = C₁ · Out(G) = C₂²×C₇×C₁₇₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₂₆₉
abelian	C₃×C₂₄₂₃

4 conjugacy classes of subgroups.

7269 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7269, 1);