Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
300 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13116601 | C2 | semidirect |
| 3. C2×#11718104 | C2 | semidirect |
| 5. #13112923 | C2 | semidirect |
| 6. #13112919 | C2 | semidirect |
| 231. C13 | #13127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116601 | 2 |
| #13116457 | 2 |
| C2×#11718104 | 2 |
| #13114678 | 2 |
| #13112923 | 2 |
| #13112919 | 2 |
| C13×#2117 | 2 |
| #13127 | 13 |