Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 101 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. #13116573 | C2 | semidirect |
| 3. #13116563 | C2 | semidirect |
| 4. #13116552 | C2 | semidirect |
| 5. #13116440 | C2 | semidirect |
| 6. #13114961 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 14. #11718816 | C4 | semidirect |
| 16. #11718812 | C4 | semidirect |
| 56. C13×M32 | D4 | semidirect |
| 66. C2×#6090 | D4 | semidirect |
| 119. C2×#361 | D13 | semidirect |
| 226. M32 | C22⋊D13 | semidirect |
| 291. C13 | #13215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125317 | 2 |
| #13116573 | 2 |
| #13116563 | 2 |
| #13116552 | 2 |
| #13116440 | 2 |
| #13114961 | 2 |
| C2×C13×#361 | 2 |
| #13215 | 13 |