Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 454 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. #13123212 | C2 | semidirect |
| 4. #13112695 | C2 | semidirect |
| 5. #13112694 | C2 | semidirect |
| 6. #13112668 | C2 | semidirect |
| 25. C13×C4⋊Q8 | Q8 | semidirect |
| 26. C13×#127 | Q8 | semidirect |
| 192. C4⋊Q8 | Dic26 | semidirect |
| 193. #127 | Dic26 | semidirect |
| 272. C13 | #10362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123212 | 2 |
| #13115665 | 2 |
| #13113396 | 2 |
| #13112695 | 2 |
| #13112694 | 2 |
| #13112668 | 2 |
| C13×#1517 | 2 |
| #10362 | 13 |