C₃×C₂₃₄₇ #20296398

order	7041
nilpotency class	1
isoclinism	isoclinic class of C₁
automorphism	Aut(G) = C₂²×C₃×C₁₇×C₂₃ (order 4692) · Inn(G) = C₁ · Out(G) = C₂²×C₃×C₁₇×C₂₃
homology	Abelianization (H₁) = G · Schur multiplier (H₂) = C₁

Aliases

cyclic	C₇₀₄₁
abelian	C₃×C₂₃₄₇

4 conjugacy classes of subgroups.

7041 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(7041, 2);