Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
336 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 5. #19098356 | C4 | semidirect |
| 8. C2×#97×C79 | C4 | semidirect |
| 9. #382×C79 | C4 | semidirect |
| 97. C79 | #7504 | semidirect |
| 101. C2×#97 | Dic79 | semidirect |
| 102. #382 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19098356 | 2 |
| C79×#1961 | 2 |
| #7504 | 79 |