Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
496 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 88 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×#11718263 | C2 | semidirect |
| 2. C2×#11718267 | C2 | semidirect |
| 3. #13129806 | C2 | direct (N × H) |
| 6. C22×C13×D8 | C4 | semidirect |
| 13. #11718820 | C4 | semidirect |
| 15. C2×#88057 | C4 | semidirect |
| 17. #11718267 | C22 | semidirect |
| 19. #11718263 | C22 | semidirect |
| 33. C2×C13×D8 | C2×C4 | semidirect |
| 54. #88057 | C2×C4 | semidirect |
| 151. C22×D8 | #261 | semidirect |
| 195. C2×D8 | C2×#261 | semidirect |
| 227. C2×C13 | #1339 | semidirect |
| 279. C13 | C2×#1339 | semidirect |
| 351. C2 | #13129806 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718263 | 2 |
| C2×#11718267 | 2 |
| #13129806 | 2 |
| C2×#11718820 | 2 |
| C2×#1339 | 13 |