Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
184 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 76 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. #13131260 | C2 | semidirect |
| 2. #13131259 | C2 | semidirect |
| 3. #13129996 | C2 | semidirect |
| 4. #13129954 | C2 | semidirect |
| 5. #13129953 | C2 | semidirect |
| 6. #13129944 | C2 | semidirect |
| 154. C13 | #13648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131260 | 2 |
| #13131259 | 2 |
| #13129996 | 2 |
| #13129954 | 2 |
| #13129953 | 2 |
| #13129944 | 2 |
| #13116670 | 2 |
| #13648 | 13 |