Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
262 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19098316 | C4 | semidirect |
| 12. #346×C79 | C4 | semidirect |
| 17. #14579093 | C8 | semidirect |
| 91. C79 | #7175 | semidirect |
| 97. #346 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14579093 | 2 |
| #23762148 | 2 |
| C4×M32×C79 | 2 |
| #7175 | 79 |