Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
224 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 224 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 |
|---|---|---|
| 3. #13112899 | C2 | semidirect |
| 4. Q8⋊#6090 | C2 | semidirect |
| 6. C16×#1055 | C2 | semidirect |
| 7. C13×#2183 | C2 | semidirect |
| 66. C13×C16 | SD16 | semidirect |
| 69. #2183 | D13 | semidirect |
| 96. #1055 | M32 | semidirect |
| 172. C16 | #6106 | semidirect |
| 173. C13 | #12051 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116669 | 2 |
| C8×#6106 | 2 |
| #13112899 | 2 |
| Q8⋊#6090 | 2 |
| #13112790 | 2 |
| C16×#1055 | 2 |
| C13×#2183 | 2 |
| #12051 | 13 |