Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C13 ⋊ #473 |
100 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|a^2=f,b^2=ef,d^2=f,e^2=f,b^a=be,c^a=cd,d^a=df,e^a=ef,g^a=g^12,d^c=df136 conjugacy classes — view the full character table.
| maximal subgroup of | #13116807, #13116809, #13116814, … |
| maximal normal subgroup of | #13116807, #13116809, #13116814, … |
| maximal quotient of | #13114201, #13114206, #13114225, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 770);