Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
652 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 652 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13125784 | C2 | semidirect |
| 4. #13115812 | C2 | semidirect |
| 6. #13112668 | C2 | semidirect |
| 7. C13×#1548 | C2 | semidirect |
| 123. #1548 | D13 | semidirect |
| 296. C13 | #10291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125784 | 2 |
| #13125779 | 2 |
| #13123194 | 2 |
| #13115812 | 2 |
| #13113505 | 2 |
| #13112668 | 2 |
| C13×#1548 | 2 |
| #10291 | 13 |