Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1122 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1122 conjugacy classes of subgroups — too many to draw. Only its 183 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. #13129610 | C2 | semidirect |
| 2. C2×#11718808 | C2 | semidirect |
| 3. #13116781 | C2 | semidirect |
| 4. #13116571 | C2 | semidirect |
| 5. #13116457 | C2 | semidirect |
| 6. C13×#3058 | C2 | semidirect |
| 8. C22×C13×D8 | C22 | semidirect |
| 15. #11719453 | C22 | semidirect |
| 18. C13×#469 | C22 | semidirect |
| 20. C13×#427 | C22 | semidirect |
| 24. #11718808 | C22 | semidirect |
| 26. C2×#88052 | C22 | semidirect |
| 27. #11718145 | C22 | semidirect |
| 28. #11718080 | C22 | semidirect |
| 59. C2×Dic52 | D4 | semidirect |
| 65. #88158 | D4 | semidirect |
| 68. C2×D104 | D4 | semidirect |
| 142. #3058 | D13 | semidirect |
| 194. C22×D8 | C2×D13 | semidirect |
| 202. #469 | C2×D13 | semidirect |
| 204. #427 | C2×D13 | semidirect |
| 341. C13 | #33531 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129610 | 2 |
| C2×#11718808 | 2 |
| #13116781 | 2 |
| #13116571 | 2 |
| #13116457 | 2 |
| C13×#3058 | 2 |
| #33531 | 13 |