Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
240 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 69 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. Q16×#1055 | C2 | semidirect |
| 4. #13112899 | C2 | semidirect |
| 5. #13112891 | C2 | semidirect |
| 7. C13×#2225 | C2 | semidirect |
| 52. C13×Q16 | SD16 | semidirect |
| 72. #2225 | D13 | semidirect |
| 101. #1055 | SD32 | semidirect |
| 161. Q16 | #6106 | semidirect |
| 181. C13 | #12417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116876 | 2 |
| #13114429 | 2 |
| Q16×#1055 | 2 |
| #13112899 | 2 |
| #13112891 | 2 |
| #13112883 | 2 |
| C13×#2225 | 2 |
| #12417 | 13 |