Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C24 |
| unambiguous semidirect product | D13⋊(C22⋊C8) |
| Sylow | C13 ⋊ C2×C22⋊C8 |
202 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 70 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 208 |
Polycyclic presentation:
2^6,13|a^2=d,c^2=f,d^2=f,b^a=be,g^a=g^8,g^d=g^1288 conjugacy classes — view the full character table.
| maximal subgroup of | #13129673, #13129678, #13129698, … |
| maximal normal subgroup of | #13129673, #13129678, #13129698, … |
| maximal quotient of | D13⋊#323, D13⋊#324, #13130068, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1090);