Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
284 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13117065 | C2 | semidirect |
| 4. #13114434 | C2 | semidirect |
| 6. C16×#1055 | C2 | semidirect |
| 7. C13×#2254 | C2 | semidirect |
| 68. C13×C16 | SD16 | semidirect |
| 70. #2254 | D13 | semidirect |
| 95. #1055 | SD32 | semidirect |
| 171. C16 | #6106 | semidirect |
| 172. C13 | #12505 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117092 | 2 |
| #13117065 | 2 |
| #13117061 | 2 |
| #13114434 | 2 |
| #13114429 | 2 |
| C16×#1055 | 2 |
| C13×#2254 | 2 |
| #12505 | 13 |