Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13116753 | C2 | semidirect |
| 3. #13116156 | C2 | semidirect |
| 4. #13112846 | C2 | semidirect |
| 5. #13112845 | C2 | semidirect |
| 6. #13112775 | C2 | semidirect |
| 7. C13×#2185 | C2 | semidirect |
| 114. #2185 | D13 | semidirect |
| 151. C2×Dic13 | SD32 | semidirect |
| 289. C13 | #12161 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126142 | 2 |
| #13116753 | 2 |
| #13116156 | 2 |
| #13112846 | 2 |
| #13112845 | 2 |
| #13112775 | 2 |
| C13×#2185 | 2 |
| #12161 | 13 |