Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
246 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13130432 | C2 | semidirect |
| 2. #13129860 | C2 | semidirect |
| 3. #13129794 | C2 | semidirect |
| 4. #13129752 | C2 | semidirect |
| 23. C13×D16 | C8 | semidirect |
| 36. C13×D8 | C2×C8 | semidirect |
| 43. C13×C16 | C2×C8 | semidirect |
| 84. D16 | #1057 | semidirect |
| 100. D8 | C2×#1057 | semidirect |
| 111. C16 | C2×#1057 | semidirect |
| 112. C13 | #12067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130432 | 2 |
| #13129860 | 2 |
| #13129794 | 2 |
| #13129752 | 2 |
| #13116712 | 2 |
| #12067 | 13 |