Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
168 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 168 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 |
|---|---|---|
| 3. #13092548 | C2 | semidirect |
| 4. #13092169 | C2 | semidirect |
| 5. #13092163 | C2 | semidirect |
| 7. C23×#475 | C2 | semidirect |
| 62. C23⋊C8 | SD16 | semidirect |
| 77. #475 | D23 | semidirect |
| 102. C23 | #1686 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092791 | 2 |
| #13092617 | 2 |
| #13092548 | 2 |
| #13092169 | 2 |
| #13092163 | 2 |
| #13092160 | 2 |
| C23×#475 | 2 |
| #1686 | 23 |