Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
412 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 78 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×D13⋊M16 | 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 |
| 54. D13⋊C8 | D4 | semidirect |
| 150. #121 | #261 | semidirect |
| 203. C13 | #1895 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊M16 | 2 |
| D13×#121 | 2 |
| C2×#88115 | 2 |
| #11719136 | 2 |
| #11718246 | 2 |
| #1895 | 13 |