Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
264 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 97 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. #23757326 | C2 | semidirect |
| 3. #23757003 | C2 | semidirect |
| 4. #23757000 | C2 | semidirect |
| 5. C2×C4⋊C8×C157 | C2 | semidirect |
| 24. #14578954 | C8 | semidirect |
| 53. Dic314 | C2×C8 | semidirect |
| 55. D628 | C2×C8 | semidirect |
| 101. C157 | #1477 | semidirect |
| 105. C2×C4⋊C8 | D157 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#14578954 | 2 |
| #23757326 | 2 |
| #23757003 | 2 |
| #23757000 | 2 |
| C2×C4⋊C8×C157 | 2 |
| #1477 | 157 |