Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
392 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 3. #13130406 | C2 | semidirect |
| 4. #13130392 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129671 | C2 | semidirect |
| 25. C13×Q8⋊C8 | C4 | semidirect |
| 26. Q8⋊#1055 | C4 | semidirect |
| 27. #11718075 | C4 | semidirect |
| 28. #11718051 | C4 | semidirect |
| 179. Q8⋊C8 | #261 | semidirect |
| 293. C13 | #8905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131536 | 2 |
| #13130709 | 2 |
| #13130406 | 2 |
| #13130392 | 2 |
| #13129733 | 2 |
| #13129671 | 2 |
| #13113217 | 2 |
| #8905 | 13 |