Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
120 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 45 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. #23757673 | C2 | semidirect |
| 3. #23757096 | C2 | semidirect |
| 4. #23757095 | C2 | semidirect |
| 5. #23757093 | C2 | semidirect |
| 59. C157 | #2231 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23757673 | 2 |
| #23757390 | 2 |
| #23757096 | 2 |
| #23757095 | 2 |
| #23757093 | 2 |
| #23757083 | 2 |
| #360×C157 | 2 |
| #2231 | 157 |