Finite Group DatabasebetaFinite Group DatabasebetaOrder 832.
106 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 37 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #88146 | C2 | semidirect |
| 3. C13×#102 | C2 | semidirect |
| 4. #88072 | C2 | semidirect |
| 5. #88060 | C2 | semidirect |
| 6. #88058 | C2 | semidirect |
| 7. #88048 | C2 | semidirect |
| 52. #102 | D13 | semidirect |
| 70. C13 | #482 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #88192 | 2 |
| #88146 | 2 |
| C13×#102 | 2 |
| #88072 | 2 |
| #88060 | 2 |
| #88058 | 2 |
| #88048 | 2 |
| #482 | 13 |