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. #13117646 | C2 | semidirect |
| 3. #13115755 | C2 | semidirect |
| 4. #13113433 | C2 | semidirect |
| 5. #13113382 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 7. C13×#1288 | C2 | semidirect |
| 20. #11718375 | C4 | semidirect |
| 21. #11718373 | C4 | semidirect |
| 56. #88128 | C2×C4 | semidirect |
| 59. #88123 | C2×C4 | semidirect |
| 63. C13×#97 | C2×C4 | semidirect |
| 140. #1288 | D13 | semidirect |
| 284. #97 | 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 |
|---|---|
| #13125825 | 2 |
| #13117646 | 2 |
| #13115755 | 2 |
| #13113433 | 2 |
| #13113382 | 2 |
| #13112691 | 2 |
| C13×#1288 | 2 |
| #9381 | 13 |