Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 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 |
|---|---|---|
| 3. #13113594 | C2 | semidirect |
| 4. #13113291 | C2 | semidirect |
| 6. #13112711 | C2 | semidirect |
| 7. C13×#1550 | C2 | semidirect |
| 118. #1550 | D13 | semidirect |
| 295. C13 | #10461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124629 | 2 |
| #13114825 | 2 |
| #13113594 | 2 |
| #13113291 | 2 |
| C2×#11718075 | 2 |
| #13112711 | 2 |
| C13×#1550 | 2 |
| #10461 | 13 |