Finite Group DatabasebetaFinite Group DatabasebetaOrder 832.
130 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 130 conjugacy classes of subgroups — too many to draw. Only its 41 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. C13×#121 | C2 | semidirect |
| 2. C2×#6104 | C2 | semidirect |
| 3. #88184 | C2 | semidirect |
| 4. C2×#6099 | C2 | semidirect |
| 5. #88072 | C2 | semidirect |
| 6. #88049 | C2 | semidirect |
| 7. #88048 | C2 | semidirect |
| 37. #1055 | D4 | semidirect |
| 57. #121 | D13 | semidirect |
| 80. C13 | #469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#121 | 2 |
| C2×#6104 | 2 |
| #88184 | 2 |
| C2×#6099 | 2 |
| #88072 | 2 |
| #88049 | 2 |
| #88048 | 2 |
| #469 | 13 |