Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
104 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 47 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 |
|---|---|---|
| 2. #19149685 | C2 | semidirect |
| 3. #19149614 | C2 | semidirect |
| 4. #19149606 | C2 | semidirect |
| 5. #19149605 | C2 | semidirect |
| 6. #19149589 | C2 | semidirect |
| 7. #131×C173 | C2 | semidirect |
| 9. #14583816 | C4 | semidirect |
| 10. #14583814 | C4 | semidirect |
| 11. #14583813 | C4 | semidirect |
| 12. #14583811 | C4 | semidirect |
| 51. C173 | #444 | semidirect |
| 55. #131 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149699 | 2 |
| #19149685 | 2 |
| #19149614 | 2 |
| #19149606 | 2 |
| #19149605 | 2 |
| #19149589 | 2 |
| #131×C173 | 2 |
| #444 | 173 |