Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
284 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 2. #13117156 | C2 | semidirect |
| 3. #13116944 | C2 | semidirect |
| 4. #13113024 | C2 | semidirect |
| 5. C13×#1400 | C2 | semidirect |
| 11. C2×Dic104 | C22 | semidirect |
| 14. C13×M64 | C22 | semidirect |
| 15. #11718097 | C22 | semidirect |
| 75. #1400 | D13 | semidirect |
| 108. M64 | C2×D13 | semidirect |
| 177. C13 | #13668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127972 | 2 |
| #13117156 | 2 |
| #13116944 | 2 |
| #13113024 | 2 |
| C13×#1400 | 2 |
| #13668 | 13 |