Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D13⋊M32 |
| Sylow | C13 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,c^2=e,d^2=e,e^2=f,b^a=bf,g^a=g^8,g^d=g^1288 conjugacy classes — view the full character table.
| maximal subgroup of | #13129879, #13129882, #13129885, … |
| maximal normal subgroup of | #13129879, #13129882, #13129885, … |
| maximal quotient of | #13131037, #13131042, #13131043, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1052);