Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13123473 | C2 | semidirect |
| 3. #13113505 | C2 | semidirect |
| 4. #13113503 | C2 | semidirect |
| 5. #13113148 | C2 | semidirect |
| 6. #13112694 | C2 | semidirect |
| 7. C13×#1286 | C2 | semidirect |
| 58. C13×C4⋊C8 | D4 | semidirect |
| 69. C4⋊#1055 | D4 | semidirect |
| 135. #1286 | D13 | semidirect |
| 270. C4⋊C8 | D52 | semidirect |
| 344. C13 | #9198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123473 | 2 |
| #13120589 | 2 |
| #13113505 | 2 |
| #13113503 | 2 |
| #13113148 | 2 |
| #13112694 | 2 |
| C13×#1286 | 2 |
| #9198 | 13 |