Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 90 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. #13131498 | C2 | semidirect |
| 2. #13131151 | C2 | semidirect |
| 3. C2×#11718277 | C2 | semidirect |
| 4. D13⋊#350 | C2 | semidirect |
| 5. #13129915 | C2 | semidirect |
| 6. #13129895 | C2 | semidirect |
| 379. C13 | #12995 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131498 | 2 |
| #13131151 | 2 |
| C2×#11718277 | 2 |
| D13⋊#350 | 2 |
| #13129915 | 2 |
| #13129895 | 2 |
| #13124554 | 2 |
| #12995 | 13 |