Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
360 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 70 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. #13131206 | C2 | semidirect |
| 2. #13130059 | C2 | semidirect |
| 3. #13129801 | C2 | semidirect |
| 4. #13129799 | C2 | semidirect |
| 18. #11718261 | C22 | semidirect |
| 20. #11718251 | C22 | semidirect |
| 21. C8×#1057 | C22 | semidirect |
| 75. Dic52 | M16 | semidirect |
| 77. D104 | M16 | semidirect |
| 208. C13 | #11669 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131206 | 2 |
| #13130059 | 2 |
| #13129801 | 2 |
| #13129799 | 2 |
| #13123745 | 2 |
| #11669 | 13 |