Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
528 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 528 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. #13127848 | C2 | semidirect |
| 2. #13117099 | C2 | semidirect |
| 3. #13117097 | C2 | semidirect |
| 4. #13116897 | C2 | semidirect |
| 5. #13116891 | C2 | semidirect |
| 6. #13116870 | C2 | semidirect |
| 7. #13116744 | C2 | semidirect |
| 8. #13116699 | C2 | semidirect |
| 9. C4×C13×D16 | C2 | semidirect |
| 114. C4×D16 | D13 | semidirect |
| 254. C13 | #33970 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127848 | 2 |
| #13117099 | 2 |
| #13117097 | 2 |
| #13116897 | 2 |
| #13116891 | 2 |
| #13116870 | 2 |
| #13116744 | 2 |
| #13116699 | 2 |
| C4×C13×D16 | 2 |
| #33970 | 13 |