Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
354 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 95 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. #13117093 | C2 | semidirect |
| 2. #13117092 | C2 | semidirect |
| 3. #13117091 | C2 | semidirect |
| 4. #13114452 | C2 | semidirect |
| 6. C16×#1055 | C2 | semidirect |
| 7. C13×#2248 | C2 | semidirect |
| 65. C13×C16 | D8 | semidirect |
| 66. #6090 | D8 | semidirect |
| 70. #2248 | D13 | semidirect |
| 92. #1055 | SD32 | semidirect |
| 164. C16 | #6104 | semidirect |
| 165. C13 | #12517 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117093 | 2 |
| #13117092 | 2 |
| #13117091 | 2 |
| #13114452 | 2 |
| #13114450 | 2 |
| C16×#1055 | 2 |
| C13×#2248 | 2 |
| #12517 | 13 |