Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
690 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 690 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13125763 | C2 | semidirect |
| 3. C2×#11718354 | C2 | semidirect |
| 4. #13115825 | C2 | semidirect |
| 5. #13113503 | C2 | semidirect |
| 6. #13113288 | C2 | semidirect |
| 7. C13×#1278 | C2 | semidirect |
| 100. C13×M16 | SD16 | semidirect |
| 129. #1278 | D13 | semidirect |
| 291. M16 | #6095 | semidirect |
| 309. C13 | #10146 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125763 | 2 |
| #13125288 | 2 |
| C2×#11718354 | 2 |
| #13115825 | 2 |
| #13113503 | 2 |
| #13113288 | 2 |
| C13×#1278 | 2 |
| #10146 | 13 |