Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
544 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19143314 | C2 | semidirect |
| 3. #19133245 | C2 | semidirect |
| 4. #19133020 | C2 | semidirect |
| 5. #19132492 | C2 | semidirect |
| 6. #19132440 | C2 | semidirect |
| 7. C43×#1955 | C2 | semidirect |
| 105. C2×C8×C43 | D8 | semidirect |
| 203. #1955 | D43 | semidirect |
| 236. C43 | #9049 | semidirect |
| 321. C2×C8 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144595 | 2 |
| #19143314 | 2 |
| #19133245 | 2 |
| #19133020 | 2 |
| #19132492 | 2 |
| #19132440 | 2 |
| C43×#1955 | 2 |
| #9049 | 43 |