Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 68 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. #13130468 | C2 | semidirect |
| 2. #13129867 | C2 | semidirect |
| 3. #13129791 | C2 | semidirect |
| 4. C16×#1057 | C2 | semidirect |
| 46. C13×C16 | M16 | semidirect |
| 65. #1057 | D16 | semidirect |
| 123. C16 | #6118 | semidirect |
| 124. C13 | #12081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130468 | 2 |
| #13129867 | 2 |
| #13129791 | 2 |
| C16×#1057 | 2 |
| #13116682 | 2 |
| #12081 | 13 |