Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13118129 | C2 | semidirect |
| 3. #13112737 | C2 | semidirect |
| 4. #13112665 | C2 | semidirect |
| 22. C13×C4⋊Q8 | Q8 | semidirect |
| 23. C13×#127 | Q8 | semidirect |
| 157. C4⋊Q8 | Dic26 | semidirect |
| 158. #127 | Dic26 | semidirect |
| 224. C13 | #10370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118129 | 2 |
| #13113331 | 2 |
| #13112737 | 2 |
| #13112665 | 2 |
| C13×#1963 | 2 |
| #10370 | 13 |