Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
394 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 394 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 |
|---|---|---|
| 2. #13115681 | C2 | semidirect |
| 3. #13113625 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 7. C13×#1548 | C2 | semidirect |
| 108. #1548 | D13 | semidirect |
| 261. C13 | #10489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125761 | 2 |
| #13115681 | 2 |
| #13113625 | 2 |
| #13113569 | 2 |
| #13113252 | 2 |
| #13112725 | 2 |
| C13×#1548 | 2 |
| #10489 | 13 |