Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
328 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13113625 | C2 | semidirect |
| 2. #13113624 | C2 | semidirect |
| 6. #13112749 | C2 | semidirect |
| 7. C13×#1574 | C2 | semidirect |
| 91. #1574 | D13 | semidirect |
| 233. C13 | #10612 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113625 | 2 |
| #13113624 | 2 |
| #13113505 | 2 |
| #13113503 | 2 |
| #13112749 | 2 |
| C13×#1574 | 2 |
| #10612 | 13 |