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. #13125316 | C2 | semidirect |
| 3. #13117102 | C2 | semidirect |
| 4. #13117085 | C2 | semidirect |
| 5. #13117070 | C2 | semidirect |
| 6. #13116890 | C2 | semidirect |
| 7. #13116870 | C2 | semidirect |
| 8. #13116760 | C2 | semidirect |
| 9. #13116749 | C2 | semidirect |
| 10. #13116644 | C2 | semidirect |
| 11. C13×#2244 | C2 | semidirect |
| 17. C13×#499 | C22 | semidirect |
| 23. C2×#88066 | C22 | semidirect |
| 26. C2×#88040 | C22 | semidirect |
| 29. #11718533 | C22 | semidirect |
| 33. #11718356 | C22 | semidirect |
| 36. C13×#357 | C22 | semidirect |
| 37. C13×#346 | C22 | semidirect |
| 39. #11718093 | C22 | semidirect |
| 40. #11718084 | C22 | semidirect |
| 42. C4×#6090 | C22 | semidirect |
| 144. #2244 | D13 | semidirect |
| 197. #499 | C2×D13 | semidirect |
| 215. #357 | C2×D13 | semidirect |
| 217. #346 | 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 |
| #13125316 | 2 |
| #13117102 | 2 |
| #13117085 | 2 |
| #13117070 | 2 |
| #13116890 | 2 |
| #13116870 | 2 |
| #13116760 | 2 |
| #13116749 | 2 |
| #13116644 | 2 |
| C13×#2244 | 2 |
| #33786 | 13 |