Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
216 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
| 2. #19149674 | C2 | semidirect |
| 3. #19149672 | C2 | semidirect |
| 4. #19149668 | C2 | semidirect |
| 5. #19149665 | C2 | semidirect |
| 6. #19149665 | C2 | semidirect |
| 7. #19149664 | C2 | semidirect |
| 8. #19149662 | C2 | semidirect |
| 9. #19149657 | C2 | semidirect |
| 10. #19149657 | C2 | semidirect |
| 12. #19149644 | C2 | semidirect |
| 13. C4×C22⋊D173 | C2 | semidirect |
| 14. #19149637 | C2 | semidirect |
| 15. C22⋊Q8×C173 | C2 | semidirect |
| 103. C173 | #542 | semidirect |
| 115. C22⋊Q8 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149677 | 2 |
| #19149674 | 2 |
| #19149672 | 2 |
| #19149668 | 2 |
| #19149665 | 2 |
| #19149664 | 2 |
| #19149662 | 2 |
| #19149657 | 2 |
| #19149652 | 2 |
| #19149644 | 2 |
| C4×C22⋊D173 | 2 |
| #19149637 | 2 |
| C22⋊Q8×C173 | 2 |
| #542 | 173 |