Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
218 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 2. #13092796 | C2 | semidirect |
| 3. #13092708 | C2 | semidirect |
| 4. #13092144 | C2 | semidirect |
| 5. C23×#333 | C2 | semidirect |
| 61. #333 | D23 | semidirect |
| 77. C23 | #1634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093133 | 2 |
| #13092796 | 2 |
| #13092708 | 2 |
| #13092144 | 2 |
| C23×#333 | 2 |
| #1634 | 23 |