Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
146 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 58 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. #23758332 | C2 | semidirect |
| 2. #23758195 | C2 | semidirect |
| 3. #23758172 | C2 | semidirect |
| 4. #23758159 | C2 | semidirect |
| 50. C157 | #2170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23758332 | 2 |
| #23758195 | 2 |
| #23758172 | 2 |
| #23758159 | 2 |
| #23757389 | 2 |
| #2170 | 157 |