Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #408 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=f,d^2=f,c^a=ce,g^a=g^8,c^b=cf,g^d=g^1258 conjugacy classes — view the full character table.
| maximal subgroup of | #13129938, #13130685, #13130794, … |
| maximal normal subgroup of | #13129938, #13130685, #13130794, … |
| maximal quotient of | #13130104, #13130107, #13130110, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1125);