Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
412 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 1. C22×#14578938 | C2 | semidirect |
| 3. C2×#19097691 | C2 | semidirect |
| 4. #23757035 | C2 | semidirect |
| 5. #380×C157 | C2 | semidirect |
| 12. #19097745 | C4 | semidirect |
| 31. C2×#11929434 | D4 | semidirect |
| 104. C157 | #1895 | semidirect |
| 109. #380 | D157 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14578938 | 2 |
| C2×#19097745 | 2 |
| C2×#19097691 | 2 |
| #23757035 | 2 |
| #380×C157 | 2 |
| #1895 | 157 |