Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
164 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 164 conjugacy classes of subgroups — too many to draw. Only its 46 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. #19097838 | C4 | semidirect |
| 9. #19097826 | C4 | semidirect |
| 66. C157 | #1285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23758293 | 2 |
| C4×#14578933 | 2 |
| #1285 | 157 |