Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
340 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13117086 | C2 | semidirect |
| 2. #13117085 | C2 | semidirect |
| 3. #13117061 | C2 | semidirect |
| 4. #13114450 | C2 | semidirect |
| 5. #13114429 | C2 | semidirect |
| 6. #13112755 | C2 | semidirect |
| 7. C13×#2240 | C2 | semidirect |
| 78. #2240 | D13 | semidirect |
| 105. #1055 | D16 | semidirect |
| 193. C13 | #12525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117086 | 2 |
| #13117085 | 2 |
| #13117061 | 2 |
| #13114450 | 2 |
| #13114429 | 2 |
| #13112755 | 2 |
| C13×#2240 | 2 |
| #12525 | 13 |