Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
554 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13122816 | C2 | semidirect |
| 2. #13116067 | C2 | semidirect |
| 3. #13115924 | C2 | semidirect |
| 4. #13112661 | C2 | semidirect |
| 5. #13112660 | C2 | semidirect |
| 6. #13112657 | C2 | semidirect |
| 360. C13 | #7746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13122816 | 2 |
| #13116067 | 2 |
| #13115924 | 2 |
| #13112661 | 2 |
| #13112660 | 2 |
| #13112657 | 2 |
| C13×#2011 | 2 |
| #7746 | 13 |