Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #500 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=e,b^2=d,c^2=d,e^2=f,c^a=ce,g^a=g^12,c^b=cd,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | #13114069, #13114070, #13114071, … |
| maximal normal subgroup of | #13114069, #13114070, #13114071, … |
| maximal quotient of | #13114995, #13115566, #13115796, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 705);