Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
336 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 336 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 |
|---|---|---|
| 17. #330×C79 | C4 | semidirect |
| 18. #330×C79 | C4 | semidirect |
| 19. #330×C79 | C4 | semidirect |
| 104. C79 | #8919 | semidirect |
| 116. #330 | Dic79 | semidirect |
| 117. #330 | Dic79 | semidirect |
| 118. #330 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23772506 | 2 |
| #23764382 | 2 |
| #23762167 | 2 |
| #23761294 | 2 |
| C79×#1526 | 2 |
| #8919 | 79 |