Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 76 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. #13131002 | C2 | semidirect |
| 3. #13130366 | C2 | semidirect |
| 5. #13129700 | C2 | semidirect |
| 6. #13129686 | C2 | semidirect |
| 22. C13×#489 | C4 | semidirect |
| 23. #11718741 | C4 | semidirect |
| 24. #11718716 | C4 | semidirect |
| 30. #11718363 | C4 | semidirect |
| 197. #489 | #261 | semidirect |
| 353. C13 | #9377 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131773 | 2 |
| #13131002 | 2 |
| #13130366 | 2 |
| #13130237 | 2 |
| #13129700 | 2 |
| #13129686 | 2 |
| #13126062 | 2 |
| #9377 | 13 |