C₅×C₁₄₈₁ #20301736

order	7405
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₄×C₅×C₈×C₃₇ (order 5920) · Inn(G) = C₁ · Out(G) = C₄×C₅×C₈×C₃₇
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₄₀₅
abelian	C₅×C₁₄₈₁

4 conjugacy classes of subgroups.

7405 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7405, 2);