Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13117584 | C2 | semidirect |
| 3. #13113518 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112665 | C2 | semidirect |
| 14. #11718754 | C4 | semidirect |
| 15. #11718737 | C4 | semidirect |
| 98. C42×C13 | SD16 | semidirect |
| 290. C42 | #6105 | semidirect |
| 295. C13 | #9301 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125758 | 2 |
| #13117584 | 2 |
| #13113518 | 2 |
| #13113396 | 2 |
| #13112696 | 2 |
| #13112665 | 2 |
| C13×#1963 | 2 |
| #9301 | 13 |