Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
378 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 90 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. #13131192 | C2 | semidirect |
| 3. C2×#11718223 | C2 | semidirect |
| 5. #13129917 | C2 | semidirect |
| 6. #13129898 | C2 | semidirect |
| 25. C13×#350 | C4 | semidirect |
| 26. #11718153 | C4 | semidirect |
| 27. #11718107 | C4 | semidirect |
| 28. #11718100 | C4 | semidirect |
| 181. #350 | #261 | semidirect |
| 294. C13 | #12927 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131498 | 2 |
| #13131192 | 2 |
| C2×#11718223 | 2 |
| #13130723 | 2 |
| #13129917 | 2 |
| #13129898 | 2 |
| D13×#350 | 2 |
| #12927 | 13 |