Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
590 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 590 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13125232 | C2 | semidirect |
| 3. #13113553 | C2 | semidirect |
| 4. #13113434 | C2 | semidirect |
| 5. #13113343 | C2 | semidirect |
| 6. #13112729 | C2 | semidirect |
| 7. C13×#2658 | C2 | semidirect |
| 129. #2658 | D13 | semidirect |
| 318. C13 | #10094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125823 | 2 |
| #13125232 | 2 |
| #13113553 | 2 |
| #13113434 | 2 |
| #13113343 | 2 |
| #13112729 | 2 |
| C13×#2658 | 2 |
| #10094 | 13 |