Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1168 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 1168 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13125819 | C2 | semidirect |
| 2. #13120696 | C2 | semidirect |
| 3. #13113805 | C2 | semidirect |
| 4. #13113771 | C2 | semidirect |
| 5. #13113383 | C2 | semidirect |
| 6. #13113180 | C2 | semidirect |
| 7. C13×#3497 | C2 | semidirect |
| 132. #3497 | D13 | semidirect |
| 326. C13 | #18368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125819 | 2 |
| #13120696 | 2 |
| #13113805 | 2 |
| #13113771 | 2 |
| #13113383 | 2 |
| #13113180 | 2 |
| C13×#3497 | 2 |
| #18368 | 13 |