Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
480 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #23761285 | C2 | semidirect |
| 4. #23761254 | C2 | semidirect |
| 10. #19098431 | C4 | semidirect |
| 12. #19098423 | C4 | semidirect |
| 16. #19098409 | C4 | semidirect |
| 17. C2×C79⋊#95 | C4 | semidirect |
| 179. C79 | #8776 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23766340 | 2 |
| C4×#14579076 | 2 |
| #23761285 | 2 |
| #23761254 | 2 |
| C79×#1465 | 2 |
| #8776 | 79 |