Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
432 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 88 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. C22×D13⋊C8 | C2 | semidirect |
| 3. C2×#88115 | C2 | semidirect |
| 4. #11719136 | C2 | semidirect |
| 5. #11718246 | C2 | semidirect |
| 15. C13×#121 | C4 | semidirect |
| 17. #88192 | C4 | semidirect |
| 18. #88184 | C4 | semidirect |
| 19. #88149 | C4 | semidirect |
| 55. D13⋊C8 | D4 | semidirect |
| 116. C22×C13 | #102 | semidirect |
| 127. C2×D13 | #102 | semidirect |
| 152. #121 | #261 | semidirect |
| 206. C13 | #1893 | semidirect |
| 268. C22 | #88115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D13⋊C8 | 2 |
| D13×#121 | 2 |
| C2×#88115 | 2 |
| #11719136 | 2 |
| #11718246 | 2 |
| #1893 | 13 |