Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
536 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 24. #475×C79 | C4 | semidirect |
| 25. #462×C79 | C4 | semidirect |
| 180. C79 | #9324 | semidirect |
| 185. #475 | Dic79 | semidirect |
| 186. #462 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23765765 | 2 |
| #23764345 | 2 |
| #23761912 | 2 |
| #23761847 | 2 |
| #23761292 | 2 |
| #23761257 | 2 |
| C79×#3113 | 2 |
| #9324 | 79 |