Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
226 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 226 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 |
|---|---|---|
| 1. #13116744 | C2 | semidirect |
| 4. #13112900 | C2 | semidirect |
| 5. #13112816 | C2 | semidirect |
| 7. C13×#1311 | C2 | semidirect |
| 66. C13×C16 | SD16 | semidirect |
| 75. #1311 | D13 | semidirect |
| 172. C16 | #6095 | semidirect |
| 173. C13 | #12049 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116744 | 2 |
| C16×D52 | 2 |
| C8×#6095 | 2 |
| #13112900 | 2 |
| #13112816 | 2 |
| #13112792 | 2 |
| C13×#1311 | 2 |
| #12049 | 13 |