Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1026 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 1026 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13115635 | C2 | semidirect |
| 2. #13113531 | C2 | semidirect |
| 3. #13113447 | C2 | semidirect |
| 4. #13113177 | C2 | semidirect |
| 16. #11718587 | C22 | semidirect |
| 17. C2×C4⋊#1055 | C22 | semidirect |
| 18. C2×#88043 | C22 | semidirect |
| 272. C13 | #8456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115635 | 2 |
| #13113531 | 2 |
| #13113447 | 2 |
| #13113177 | 2 |
| C13×#3496 | 2 |
| #8456 | 13 |