Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
678 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 678 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. #13125959 | C2 | semidirect |
| 3. #13123193 | C2 | semidirect |
| 4. #13115664 | C2 | semidirect |
| 5. #13113507 | C2 | semidirect |
| 6. #13113503 | C2 | semidirect |
| 7. C13×#1276 | C2 | semidirect |
| 106. C42×C13 | D8 | semidirect |
| 129. #1276 | D13 | semidirect |
| 308. C42 | D104 | semidirect |
| 313. C13 | #10284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125959 | 2 |
| #13125756 | 2 |
| #13123193 | 2 |
| #13115664 | 2 |
| #13113507 | 2 |
| #13113503 | 2 |
| C13×#1276 | 2 |
| #10284 | 13 |