Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13123830 | C2 | semidirect |
| 3. #13113457 | C2 | semidirect |
| 4. C2×#11718056 | C2 | semidirect |
| 5. #13113189 | C2 | semidirect |
| 6. #13112680 | C2 | semidirect |
| 7. C13×#1302 | C2 | semidirect |
| 146. #1302 | D13 | semidirect |
| 352. C13 | #9265 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125803 | 2 |
| #13123830 | 2 |
| #13113457 | 2 |
| C2×#11718056 | 2 |
| #13113189 | 2 |
| #13112680 | 2 |
| C13×#1302 | 2 |
| #9265 | 13 |