Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
262 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 85 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. #23757321 | C2 | semidirect |
| 3. #23757296 | C2 | semidirect |
| 5. #23757043 | C2 | semidirect |
| 6. #23757032 | C2 | semidirect |
| 17. #19097698 | C4 | semidirect |
| 18. #19097698 | C4 | semidirect |
| 97. C157 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23758040 | 2 |
| #23757321 | 2 |
| #23757296 | 2 |
| C2×#19097698 | 2 |
| #23757043 | 2 |
| #23757032 | 2 |
| #421×C157 | 2 |
| #1861 | 157 |