Finite Group DatabasebetaFinite Group DatabasebetaOrder 20032.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 101 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. #23756490 | C2 | semidirect |
| 2. #23756488 | C2 | semidirect |
| 3. #23756484 | C2 | semidirect |
| 4. #23756479 | C2 | semidirect |
| 5. #23756477 | C2 | semidirect |
| 7. C4×Dic626 | C2 | semidirect |
| 8. C4×C22⋊D313 | C2 | semidirect |
| 9. #23756456 | C2 | semidirect |
| 10. C42×D313 | C2 | semidirect |
| 11. C4×D4×C313 | C2 | semidirect |
| 74. C313 | #529 | semidirect |
| 84. C4×D4 | D313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23756490 | 2 |
| #23756488 | 2 |
| #23756484 | 2 |
| #23756479 | 2 |
| #23756477 | 2 |
| #23756468 | 2 |
| C4×Dic626 | 2 |
| C4×C22⋊D313 | 2 |
| #23756456 | 2 |
| C42×D313 | 2 |
| C4×D4×C313 | 2 |
| #529 | 313 |