Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
600 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 600 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13131400 | C2 | semidirect |
| 2. #13130177 | C2 | semidirect |
| 3. #13130088 | C2 | semidirect |
| 4. #13129695 | C2 | semidirect |
| 57. C4×#1057 | D4 | semidirect |
| 298. C13 | #9492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131400 | 2 |
| #13130177 | 2 |
| #13130088 | 2 |
| #13129695 | 2 |
| #13120403 | 2 |
| #9492 | 13 |