Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
226 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 60 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. #13130486 | C2 | semidirect |
| 2. #13130485 | C2 | semidirect |
| 3. #13129862 | C2 | semidirect |
| 4. #13129795 | C2 | semidirect |
| 5. #13129794 | C2 | semidirect |
| 6. #13129753 | C2 | semidirect |
| 68. #6090 | M16 | semidirect |
| 176. C13 | #12089 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130486 | 2 |
| #13130485 | 2 |
| #13129862 | 2 |
| #13129795 | 2 |
| #13129794 | 2 |
| #13129753 | 2 |
| #13116709 | 2 |
| #12089 | 13 |