Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 151 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. #13125415 | C2 | semidirect |
| 2. #13116984 | C2 | semidirect |
| 3. #13116939 | C2 | semidirect |
| 4. #13116872 | C2 | semidirect |
| 5. C13×#2150 | C2 | semidirect |
| 73. #2150 | D13 | semidirect |
| 173. C13 | #33819 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125415 | 2 |
| #13116984 | 2 |
| #13116939 | 2 |
| #13116872 | 2 |
| C13×#2150 | 2 |
| #33819 | 13 |