Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
478 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 26. #483×C79 | C4 | semidirect |
| 29. #451×C79 | C4 | semidirect |
| 217. C79 | #9342 | semidirect |
| 221. #483 | Dic79 | semidirect |
| 224. #451 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23766566 | 2 |
| #23764386 | 2 |
| #23761933 | 2 |
| #23761920 | 2 |
| #23761307 | 2 |
| #23761254 | 2 |
| C79×#3195 | 2 |
| #9342 | 79 |