Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
294 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 76 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. C2×#11718214 | C2 | semidirect |
| 2. #13131187 | C2 | semidirect |
| 3. #13129990 | C2 | semidirect |
| 4. #13129989 | C2 | semidirect |
| 8. C13×#508 | C4 | semidirect |
| 11. D13×Q32 | C4 | semidirect |
| 15. D13×D16 | C4 | semidirect |
| 16. #11718565 | C4 | semidirect |
| 19. #11718222 | C22 | semidirect |
| 22. #11718214 | C22 | semidirect |
| 128. #508 | #261 | semidirect |
| 224. C13 | #13622 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718214 | 2 |
| #13131187 | 2 |
| #13129990 | 2 |
| #13129989 | 2 |
| D13×#508 | 2 |
| #13622 | 13 |