Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
704 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 118 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. #13130690 | C2 | semidirect |
| 2. #13130562 | C2 | semidirect |
| 3. C2×#11718286 | C2 | semidirect |
| 359. C13 | #9652 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130690 | 2 |
| #13130562 | 2 |
| C2×#11718286 | 2 |
| C2×#11718305 | 2 |
| C2×#11718605 | 2 |
| #9652 | 13 |