Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
292 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 8. #19098328 | C4 | semidirect |
| 11. C22×C16×C79 | C4 | semidirect |
| 113. C79 | #7232 | semidirect |
| 115. C22×C16 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23763438 | 2 |
| #23763425 | 2 |
| C2×C22⋊C16×C79 | 2 |
| #7232 | 79 |