Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
216 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13116674 | C2 | semidirect |
| 3. #13112912 | C2 | semidirect |
| 4. #13112810 | C2 | semidirect |
| 5. C8×C13×C16 | C2 | semidirect |
| 27. Dic104 | C8 | semidirect |
| 28. #88040 | C8 | semidirect |
| 29. D208 | C8 | semidirect |
| 55. C8×C16 | D13 | semidirect |
| 121. C13 | #12046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116718 | 2 |
| #13116674 | 2 |
| #13112912 | 2 |
| #13112810 | 2 |
| C8×C13×C16 | 2 |
| #12046 | 13 |