Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
192 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19149677 | C2 | semidirect |
| 4. #19149670 | C2 | semidirect |
| 5. #19149670 | C2 | semidirect |
| 6. #19149669 | C2 | semidirect |
| 8. Q8×Dic173 | C2 | semidirect |
| 9. #19149644 | C2 | semidirect |
| 67. C173 | #541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149677 | 2 |
| #19149672 | 2 |
| #19149670 | 2 |
| #19149669 | 2 |
| #19149658 | 2 |
| Q8×Dic173 | 2 |
| #19149644 | 2 |
| #19149638 | 2 |
| C22⋊Q8×C173 | 2 |
| #541 | 173 |