Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
4070 conjugacy classes of subgroups; only the 427 normal subgroups are shown.
This group has 4070 conjugacy classes of subgroups — too many to draw. Only its 427 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. C2×D13×C22⋊C8 | C2 | semidirect |
| 3. #13114748 | C2 | semidirect |
| 4. #13114747 | C2 | semidirect |
| 5. C13×#1780 | C2 | semidirect |
| 15. C2×C13×C22⋊C8 | C22 | semidirect |
| 16. C2×C22⋊#1055 | C22 | semidirect |
| 17. C2×#88060 | C22 | semidirect |
| 95. #1780 | D13 | direct (N × H) |
| 139. C2×C22⋊C8 | C2×D13 | semidirect |
| 189. D13 | #1780 | direct (N × H) |
| 231. C13 | C2×#1780 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#41×D13 | 2 |
| C2×D13×C22⋊C8 | 2 |
| #13114748 | 2 |
| #13114747 | 2 |
| C13×#1780 | 2 |
| C2×#1780 | 13 |