Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
312 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 1. #13127704 | C2 | semidirect |
| 2. #13117060 | C2 | semidirect |
| 4. #13114196 | C2 | semidirect |
| 5. #13112893 | C2 | semidirect |
| 6. #13112798 | C2 | semidirect |
| 7. C13×Q8⋊C16 | C2 | semidirect |
| 82. D104 | SD16 | semidirect |
| 90. Q8⋊C16 | D13 | semidirect |
| 216. C13 | #12355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127704 | 2 |
| #13117060 | 2 |
| #13116872 | 2 |
| #13114196 | 2 |
| #13112893 | 2 |
| #13112798 | 2 |
| C13×Q8⋊C16 | 2 |
| #12355 | 13 |