Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13117060 | C2 | semidirect |
| 3. #13116984 | C2 | semidirect |
| 4. #13114240 | C2 | semidirect |
| 5. #13112883 | C2 | semidirect |
| 6. #13112798 | C2 | semidirect |
| 7. C13×Q8⋊C16 | C2 | semidirect |
| 91. Q8⋊C16 | D13 | semidirect |
| 220. C13 | #12384 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127811 | 2 |
| #13117060 | 2 |
| #13116984 | 2 |
| #13114240 | 2 |
| #13112883 | 2 |
| #13112798 | 2 |
| C13×Q8⋊C16 | 2 |
| #12384 | 13 |