Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 306 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. #13117092 | C2 | semidirect |
| 3. #13117064 | C2 | semidirect |
| 4. #13117060 | C2 | semidirect |
| 5. #13114442 | C2 | semidirect |
| 6. #13114428 | C2 | semidirect |
| 7. C13×#1312 | C2 | semidirect |
| 79. #1312 | D13 | semidirect |
| 184. C13 | #12527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117092 | 2 |
| #13117086 | 2 |
| #13117064 | 2 |
| #13117060 | 2 |
| #13114442 | 2 |
| #13114428 | 2 |
| C13×#1312 | 2 |
| #12527 | 13 |