Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 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. #19149674 | C2 | semidirect |
| 2. #19149670 | C2 | semidirect |
| 3. #19149664 | C2 | semidirect |
| 4. #19149663 | C2 | semidirect |
| 5. #19149655 | C2 | semidirect |
| 7. #19149639 | C2 | semidirect |
| 8. C2×#14583805 | C2 | semidirect |
| 9. C22⋊Q8×C173 | C2 | semidirect |
| 66. C173 | #539 | semidirect |
| 73. C22⋊Q8 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149674 | 2 |
| #19149670 | 2 |
| #19149664 | 2 |
| #19149663 | 2 |
| #19149655 | 2 |
| #19149653 | 2 |
| #19149639 | 2 |
| C2×#14583805 | 2 |
| C22⋊Q8×C173 | 2 |
| #539 | 173 |