Finite Group DatabasebetaFinite Group DatabasebetaOrder 20224.
170 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 170 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 |
|---|---|---|
| 7. C2×C79⋊C32 | C4 | semidirect |
| 8. #19098391 | C4 | semidirect |
| 12. #367×C79 | C4 | semidirect |
| 76. C79 | #7475 | semidirect |
| 84. #367 | Dic79 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19098397 | 2 |
| #23765184 | 2 |
| C79×#2158 | 2 |
| #7475 | 79 |