Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
288 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 55 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. #13127974 | C2 | semidirect |
| 2. #13117148 | C2 | semidirect |
| 3. C2×D416 | C2 | semidirect |
| 4. #13116957 | C2 | semidirect |
| 5. #13113025 | C2 | semidirect |
| 6. #13112977 | C2 | semidirect |
| 7. C13×#1417 | C2 | semidirect |
| 15. C2×D208 | C22 | semidirect |
| 18. C2×C13×C32 | C22 | semidirect |
| 19. C13×#368 | C22 | semidirect |
| 22. #11718091 | C22 | semidirect |
| 86. #1417 | D13 | semidirect |
| 125. C2×C32 | C2×D13 | semidirect |
| 126. #368 | C2×D13 | semidirect |
| 201. C13 | #13669 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127974 | 2 |
| #13117148 | 2 |
| C2×D416 | 2 |
| #13116957 | 2 |
| #13113025 | 2 |
| #13112977 | 2 |
| C13×#1417 | 2 |
| #13669 | 13 |