Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
770 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13123281 | C2 | semidirect |
| 2. #13114754 | C2 | semidirect |
| 3. #13113365 | C2 | semidirect |
| 4. #13112689 | C2 | semidirect |
| 7. C2×C13×#127 | C4 | semidirect |
| 8. C2×C13×#124 | C4 | semidirect |
| 13. C13×#391 | C4 | semidirect |
| 14. C13×#390 | C4 | semidirect |
| 68. C22⋊#1055 | D4 | semidirect |
| 209. C2×#127 | Dic13 | semidirect |
| 210. C2×#124 | Dic13 | semidirect |
| 219. #391 | Dic13 | semidirect |
| 220. #390 | Dic13 | semidirect |
| 383. C13 | #9445 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123281 | 2 |
| #13114754 | 2 |
| #13113365 | 2 |
| #13112689 | 2 |
| C13×#2431 | 2 |
| #9445 | 13 |