Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
298 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 125. #1055 | #108 | semidirect |
| 228. C13 | #9623 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130951 | 2 |
| #13130950 | 2 |
| #13130392 | 2 |
| C8×#6118 | 2 |
| #13129728 | 2 |
| D13×#334 | 2 |
| #9623 | 13 |