Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1166 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 1166 conjugacy classes of subgroups — too many to draw. Only its 183 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. #13124954 | C2 | semidirect |
| 2. #13118127 | C2 | semidirect |
| 3. #13113839 | C2 | semidirect |
| 4. #13113805 | C2 | semidirect |
| 5. #13113344 | C2 | semidirect |
| 6. #13113180 | C2 | semidirect |
| 317. C13 | #18187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124954 | 2 |
| #13118127 | 2 |
| #13113839 | 2 |
| #13113805 | 2 |
| #13113344 | 2 |
| #13113180 | 2 |
| C13×#3497 | 2 |
| #18187 | 13 |