Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
314 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 157 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. #23757403 | C2 | semidirect |
| 3. #23757402 | C2 | semidirect |
| 4. #23757401 | C2 | semidirect |
| 5. #23757400 | C2 | semidirect |
| 91. C157 | #2987 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23757826 | 2 |
| #23757403 | 2 |
| #23757402 | 2 |
| #23757401 | 2 |
| #23757400 | 2 |
| #23757334 | 2 |
| #23757331 | 2 |
| #23757327 | 2 |
| #433×C157 | 2 |
| #2987 | 157 |