Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
288 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 288 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 |
|---|---|---|
| 1. #13127977 | C2 | semidirect |
| 2. #13117151 | C2 | semidirect |
| 3. C2×D416 | C2 | semidirect |
| 4. #13116956 | C2 | semidirect |
| 5. #13113027 | C2 | semidirect |
| 6. #13113021 | C2 | semidirect |
| 7. C13×#1401 | C2 | semidirect |
| 17. C2×D208 | C22 | semidirect |
| 18. C13×M64 | C22 | semidirect |
| 19. C2×C13×C32 | C22 | semidirect |
| 21. #11718098 | C22 | semidirect |
| 87. #1401 | D13 | semidirect |
| 124. M64 | C2×D13 | semidirect |
| 125. C2×C32 | 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 |
|---|---|
| #13127977 | 2 |
| #13117151 | 2 |
| C2×D416 | 2 |
| #13116956 | 2 |
| #13113027 | 2 |
| #13113021 | 2 |
| C13×#1401 | 2 |
| #13669 | 13 |