Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
500 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 107 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. #428×C79 | C4 | semidirect |
| 27. #419×C79 | C4 | semidirect |
| 198. C79 | #9363 | semidirect |
| 204. #428 | Dic79 | semidirect |
| 205. #419 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23766285 | 2 |
| #23764386 | 2 |
| #23763499 | 2 |
| #23761920 | 2 |
| #23761305 | 2 |
| #23761285 | 2 |
| C79×#3095 | 2 |
| #9363 | 79 |