Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
530 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13117649 | C2 | semidirect |
| 3. #13113433 | C2 | semidirect |
| 4. #13113383 | C2 | semidirect |
| 5. #13112701 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 7. C13×#1980 | C2 | semidirect |
| 14. #11718750 | C4 | semidirect |
| 15. #11718735 | C4 | semidirect |
| 36. C13×C4⋊Q8 | C2×C4 | semidirect |
| 37. C13×#127 | C2×C4 | semidirect |
| 78. #88043 | C2×C4 | semidirect |
| 137. #1980 | D13 | semidirect |
| 252. C4⋊Q8 | C4×D13 | semidirect |
| 253. #127 | C4×D13 | semidirect |
| 355. C13 | #9381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125819 | 2 |
| #13117649 | 2 |
| #13113433 | 2 |
| #13113383 | 2 |
| #13112701 | 2 |
| #13112692 | 2 |
| C13×#1980 | 2 |
| #9381 | 13 |