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. #13118130 | C2 | semidirect |
| 4. #13112739 | C2 | semidirect |
| 5. #13112738 | C2 | semidirect |
| 6. #13112664 | C2 | semidirect |
| 29. C13×C4⋊Q8 | Q8 | semidirect |
| 30. C13×#127 | Q8 | semidirect |
| 219. C4⋊Q8 | Dic26 | semidirect |
| 220. #127 | Dic26 | semidirect |
| 314. C13 | #10370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118130 | 2 |
| #13115669 | 2 |
| #13113331 | 2 |
| #13112739 | 2 |
| #13112738 | 2 |
| #13112664 | 2 |
| C13×#1502 | 2 |
| #10370 | 13 |