Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
200 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 57 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. #13117154 | C2 | semidirect |
| 3. #13116718 | C2 | semidirect |
| 4. #13113034 | C2 | semidirect |
| 5. #13113029 | C2 | semidirect |
| 6. #13113026 | C2 | semidirect |
| 7. C13×#2249 | C2 | semidirect |
| 69. #2249 | D13 | semidirect |
| 162. C13 | #13691 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117154 | 2 |
| #13117149 | 2 |
| #13116718 | 2 |
| #13113034 | 2 |
| #13113029 | 2 |
| #13113026 | 2 |
| C13×#2249 | 2 |
| #13691 | 13 |