Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 135 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. #13116463 | C2 | semidirect |
| 3. #13116457 | C2 | semidirect |
| 4. #13112915 | C2 | semidirect |
| 5. C13×#3407 | C2 | semidirect |
| 46. C2×C13×C16 | D4 | semidirect |
| 95. #3407 | D13 | semidirect |
| 186. C2×C16 | C22⋊D13 | semidirect |
| 236. C13 | #12988 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123552 | 2 |
| #13116463 | 2 |
| #13116457 | 2 |
| #13112915 | 2 |
| C13×#3407 | 2 |
| #12988 | 13 |