Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
520 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 1. #13127970 | C2 | semidirect |
| 2. #13124556 | C2 | semidirect |
| 3. C2×#11718159 | C2 | semidirect |
| 4. C2×#11718089 | C2 | semidirect |
| 5. #13116450 | C2 | semidirect |
| 6. #13112939 | C2 | semidirect |
| 7. C13×#3067 | C2 | semidirect |
| 157. #3067 | D13 | semidirect |
| 376. C13 | #13312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127970 | 2 |
| #13124556 | 2 |
| C2×#11718159 | 2 |
| C2×#11718089 | 2 |
| #13116450 | 2 |
| #13112939 | 2 |
| C13×#3067 | 2 |
| #13312 | 13 |