Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
618 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 618 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13125487 | C2 | semidirect |
| 2. #13125318 | C2 | semidirect |
| 3. #13117103 | C2 | semidirect |
| 4. #13117086 | C2 | semidirect |
| 5. #13117079 | C2 | semidirect |
| 6. #13116894 | C2 | semidirect |
| 7. #13116870 | C2 | semidirect |
| 8. #13116762 | C2 | semidirect |
| 9. #13116749 | C2 | semidirect |
| 10. #13116641 | C2 | semidirect |
| 11. C13×#2242 | C2 | semidirect |
| 17. C13×#499 | C22 | semidirect |
| 20. C2×#88068 | C22 | semidirect |
| 27. C2×D208 | C22 | semidirect |
| 29. #11718533 | C22 | semidirect |
| 33. #11718356 | C22 | semidirect |
| 35. C13×#358 | C22 | semidirect |
| 37. C4×C13×C16 | C22 | semidirect |
| 39. #11718093 | C22 | semidirect |
| 41. #11718083 | C22 | semidirect |
| 42. #11718053 | C22 | semidirect |
| 145. #2242 | D13 | semidirect |
| 197. #499 | C2×D13 | semidirect |
| 212. #358 | C2×D13 | semidirect |
| 218. C4×C16 | C2×D13 | semidirect |
| 342. C13 | #33786 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125487 | 2 |
| #13125318 | 2 |
| #13117103 | 2 |
| #13117086 | 2 |
| #13117079 | 2 |
| #13116894 | 2 |
| #13116870 | 2 |
| #13116762 | 2 |
| #13116749 | 2 |
| #13116641 | 2 |
| C13×#2242 | 2 |
| #33786 | 13 |