C₃×C₂₅₃₉ #21439253

order	7617
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₂₇×C₄₇ (order 5076) · Inn(G) = C₁ · Out(G) = C₂²×C₂₇×C₄₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₆₁₇
abelian	C₃×C₂₅₃₉

4 conjugacy classes of subgroups.

7617 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7617, 2);