Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
582 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×C4×Dic157 | C2 | semidirect |
| 2. #23757161 | C2 | semidirect |
| 3. #23757154 | C2 | semidirect |
| 5. #23757145 | C2 | semidirect |
| 6. #23757136 | C2 | semidirect |
| 84. C157 | #2853 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic157 | 2 |
| #23757161 | 2 |
| #23757154 | 2 |
| #23757153 | 2 |
| #23757145 | 2 |
| #23757136 | 2 |
| C2×#123×C157 | 2 |
| #2853 | 157 |