Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
246 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 93 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. #13113660 | C2 | semidirect |
| 2. #13112902 | C2 | semidirect |
| 3. #13112803 | C2 | semidirect |
| 4. #13112756 | C2 | semidirect |
| 19. C13×D16 | C8 | semidirect |
| 33. C13×D8 | C2×C8 | semidirect |
| 43. C13×C16 | C2×C8 | semidirect |
| 84. D16 | #1055 | semidirect |
| 100. D8 | C2×#1055 | semidirect |
| 111. C16 | C2×#1055 | semidirect |
| 112. C13 | #12067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113660 | 2 |
| #13112902 | 2 |
| #13112803 | 2 |
| #13112756 | 2 |
| C13×#2177 | 2 |
| #12067 | 13 |