Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1280 conjugacy classes of subgroups; only the 191 normal subgroups are shown.
This group has 1280 conjugacy classes of subgroups — too many to draw. Only its 191 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. C2×#14583503 | C2 | semidirect |
| 2. C2×#14583275 | C2 | semidirect |
| 3. C2×#14583264 | C2 | semidirect |
| 4. #19140348 | C2 | semidirect |
| 5. #19135592 | C2 | semidirect |
| 6. #19135559 | C2 | semidirect |
| 7. #19134941 | C2 | semidirect |
| 8. #19134364 | C2 | semidirect |
| 9. C43×#1961 | C2 | semidirect |
| 48. #13063317 | D4 | semidirect |
| 74. #127×C43 | D4 | semidirect |
| 207. #1961 | D43 | semidirect |
| 242. C43 | #25608 | semidirect |
| 259. #127 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583503 | 2 |
| C2×#14583275 | 2 |
| C2×#14583264 | 2 |
| #19140348 | 2 |
| #19135592 | 2 |
| #19135559 | 2 |
| #19134941 | 2 |
| #19134364 | 2 |
| C43×#1961 | 2 |
| #25608 | 43 |