Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C4 |
No aliases for this group.
| Sylow | C13 ⋊ #487 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=f,b^2=e,c^2=e,d^2=f,b^a=be,c^a=cd,d^a=df,g^a=g^12,c^b=ce,d^c=df106 conjugacy classes — view the full character table.
| maximal subgroup of | #13113987, #13113988, #13113994, … |
| maximal normal subgroup of | #13113987, #13113988, #13113994, … |
| maximal quotient of | #13114963, #13115511, #13115637, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 720);