Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
120 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 41 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. #13050162 | C2 | semidirect |
| 5. #13050093 | C2 | semidirect |
| 6. #13050087 | C2 | semidirect |
| 7. #103×C41 | C2 | semidirect |
| 47. Dic41 | SD16 | semidirect |
| 53. C41 | #461 | semidirect |
| 60. #103 | D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10620273 | 2 |
| C2×#10620284 | 2 |
| #13050162 | 2 |
| #13050126 | 2 |
| #13050093 | 2 |
| #13050087 | 2 |
| #103×C41 | 2 |
| #461 | 41 |