Finite Group DatabasebetaFinite Group DatabasebetaOrder 832.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 1. C2×C13×SD16 | C2 | semidirect |
| 2. #88201 | C2 | semidirect |
| 3. C2×#6106 | C2 | semidirect |
| 4. #88194 | C2 | semidirect |
| 5. C2×#6104 | C2 | semidirect |
| 6. C2×D104 | C2 | semidirect |
| 7. #88055 | C2 | semidirect |
| 36. C8×C13 | D4 | semidirect |
| 37. #1055 | D4 | semidirect |
| 51. C2×SD16 | D13 | semidirect |
| 75. C13 | #496 | semidirect |
| 92. C8 | C22⋊D13 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×SD16 | 2 |
| #88201 | 2 |
| C2×#6106 | 2 |
| #88194 | 2 |
| C2×#6104 | 2 |
| C2×D104 | 2 |
| #88055 | 2 |
| #496 | 13 |