Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
212 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 212 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 |
|---|---|---|
| 1. #19149678 | C2 | semidirect |
| 2. #19149674 | C2 | semidirect |
| 3. #19149672 | C2 | semidirect |
| 5. #19149655 | C2 | semidirect |
| 6. Q8×Dic173 | C2 | semidirect |
| 7. #19149644 | C2 | semidirect |
| 9. #19149638 | C2 | semidirect |
| 10. #19149637 | C2 | semidirect |
| 11. C22⋊Q8×C173 | C2 | semidirect |
| 72. C173 | #556 | semidirect |
| 79. C22⋊Q8 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149678 | 2 |
| #19149674 | 2 |
| #19149672 | 2 |
| #19149665 | 2 |
| #19149655 | 2 |
| Q8×Dic173 | 2 |
| #19149644 | 2 |
| C4×C22⋊D173 | 2 |
| #19149638 | 2 |
| #19149637 | 2 |
| C22⋊Q8×C173 | 2 |
| #556 | 173 |