Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
564 conjugacy classes of subgroups; only the 282 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 282 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 |
|---|---|---|
| 2. #23758238 | C2 | semidirect |
| 3. C4×#14578963 | C2 | semidirect |
| 6. D157⋊M16 | C4 | semidirect |
| 9. #19097826 | C22 | semidirect |
| 10. C4×#11929441 | C22 | semidirect |
| 18. #14578964 | C2×C4 | semidirect |
| 20. D157⋊C8 | C2×C4 | semidirect |
| 71. C157 | #2873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D157⋊M16 | 2 |
| #23758238 | 2 |
| C4×#14578963 | 2 |
| C2×#19097729 | 2 |
| #2873 | 157 |