Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
184 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 114 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. #23758161 | C2 | semidirect |
| 4. C4×#14578957 | C2 | semidirect |
| 6. #19097845 | C4 | semidirect |
| 7. C2×#14578957 | C4 | semidirect |
| 49. C157 | #2108 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#19097845 | 2 |
| C22×#14578957 | 2 |
| #23758161 | 2 |
| C4×#14578957 | 2 |
| #23757229 | 2 |
| #2108 | 157 |