Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
322 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 109 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. #23757582 | C2 | semidirect |
| 3. #23757579 | C2 | semidirect |
| 6. #23757482 | C2 | semidirect |
| 7. #23757481 | C2 | semidirect |
| 99. C157 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23757883 | 2 |
| #23757582 | 2 |
| #23757579 | 2 |
| #23757529 | 2 |
| #23757514 | 2 |
| #23757482 | 2 |
| #23757481 | 2 |
| #23757299 | 2 |
| #467×C157 | 2 |
| #3261 | 157 |