Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
276 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 67 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. #23757301 | C2 | semidirect |
| 3. #23757283 | C2 | semidirect |
| 5. C2×#19097689 | C2 | semidirect |
| 6. #23757037 | C2 | semidirect |
| 100. C157 | #2046 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14578942 | 2 |
| #23757301 | 2 |
| #23757283 | 2 |
| #23757278 | 2 |
| C2×#19097689 | 2 |
| #23757037 | 2 |
| C2×#100×C157 | 2 |
| #2046 | 157 |