Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
452 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 3. C8×#6122 | C2 | semidirect |
| 4. #13129720 | C2 | semidirect |
| 229. C13 | #8241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130339 | 2 |
| #13130290 | 2 |
| C8×#6122 | 2 |
| #13129720 | 2 |
| #13123546 | 2 |
| #8241 | 13 |