Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1154 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 1154 conjugacy classes of subgroups — too many to draw. Only its 187 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. #19144627 | C2 | semidirect |
| 3. #19139957 | C2 | semidirect |
| 4. #19133634 | C2 | semidirect |
| 5. #19133566 | C2 | semidirect |
| 6. #19133156 | C2 | semidirect |
| 7. C43×#1461 | C2 | semidirect |
| 84. C2×Q8×C43 | SD16 | semidirect |
| 195. #1461 | D43 | semidirect |
| 226. C43 | #18219 | semidirect |
| 289. C2×Q8 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148366 | 2 |
| #19144627 | 2 |
| #19139957 | 2 |
| #19133634 | 2 |
| #19133566 | 2 |
| #19133156 | 2 |
| C43×#1461 | 2 |
| #18219 | 43 |