Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19149668 | C2 | semidirect |
| 4. #19149664 | C2 | semidirect |
| 5. #19149655 | C2 | semidirect |
| 7. C4×D692 | C2 | semidirect |
| 8. C4×D692 | C2 | semidirect |
| 9. #19149636 | C2 | semidirect |
| 10. C42×D173 | C2 | semidirect |
| 11. C4×Q8×C173 | C2 | semidirect |
| 74. C173 | #529 | semidirect |
| 82. C4×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 |
| #19149668 | 2 |
| #19149664 | 2 |
| #19149655 | 2 |
| #19149654 | 2 |
| C4×D692 | 2 |
| #19149636 | 2 |
| C42×D173 | 2 |
| C4×Q8×C173 | 2 |
| #529 | 173 |