Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
248 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 126 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 |
|---|---|---|
| 3. #11929441⋊C8 | C2 | semidirect |
| 17. D157⋊C8 | C8 | semidirect |
| 31. #11929441 | C2×C8 | semidirect |
| 57. D157 | #322 | semidirect |
| 58. C157 | C2×#322 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D157⋊C8 | 2 |
| #11929441⋊C8 | 2 |
| C4×C8×D157 | 2 |
| C2×#322 | 157 |