Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
764 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 764 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13124096 | C2 | semidirect |
| 2. #13122864 | C2 | semidirect |
| 3. #13114754 | C2 | semidirect |
| 4. #13113370 | C2 | semidirect |
| 5. #13113365 | C2 | semidirect |
| 6. #13112745 | C2 | semidirect |
| 411. C13 | #9981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124096 | 2 |
| #13122864 | 2 |
| #13114754 | 2 |
| #13113370 | 2 |
| #13113365 | 2 |
| #13112745 | 2 |
| C13×#3006 | 2 |
| #9981 | 13 |