Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13116610 | C2 | semidirect |
| 4. #13115582 | C2 | semidirect |
| 5. #13112938 | C2 | semidirect |
| 6. #13112917 | C2 | semidirect |
| 23. #11718158 | C4 | semidirect |
| 54. #88057 | C2×C4 | semidirect |
| 60. #88052 | C2×C4 | semidirect |
| 259. C13 | #12951 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #135×Dic13 | 2 |
| #13116610 | 2 |
| #13116572 | 2 |
| #13115582 | 2 |
| #13112938 | 2 |
| #13112917 | 2 |
| C13×#2148 | 2 |
| #12951 | 13 |