Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 2. #13130393 | C2 | semidirect |
| 3. #13130390 | C2 | semidirect |
| 4. #13129706 | C2 | semidirect |
| 158. #1055 | #100 | semidirect |
| 293. C13 | #8618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130700 | 2 |
| #13130393 | 2 |
| #13130390 | 2 |
| #13129706 | 2 |
| C2×#11718390 | 2 |
| #8618 | 13 |