Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
480 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 480 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 |
|---|---|---|
| 3. #23761286 | C2 | semidirect |
| 4. #23761252 | C2 | semidirect |
| 16. #383×C79 | C4 | semidirect |
| 18. #380×C79 | C4 | semidirect |
| 21. #376×C79 | C4 | semidirect |
| 22. C2×#95×C79 | C4 | semidirect |
| 179. C79 | #8777 | semidirect |
| 186. #383 | Dic79 | semidirect |
| 188. #380 | Dic79 | semidirect |
| 192. #376 | Dic79 | semidirect |
| 193. C2×#95 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14579076 | 2 |
| #23761738 | 2 |
| #23761286 | 2 |
| #23761252 | 2 |
| C79×#2353 | 2 |
| #8777 | 79 |