Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19136260 | C2 | semidirect |
| 3. #19132759 | C2 | semidirect |
| 4. #19132757 | C2 | semidirect |
| 5. C43×#2126 | C2 | semidirect |
| 8. #14583449 | C4 | semidirect |
| 11. #14583278 | C4 | semidirect |
| 13. #14583273 | C4 | semidirect |
| 16. C2×C4×C43⋊C8 | C4 | semidirect |
| 170. #2126 | D43 | semidirect |
| 196. C43 | #13583 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145021 | 2 |
| #19136260 | 2 |
| #19132759 | 2 |
| #19132757 | 2 |
| C43×#2126 | 2 |
| #13583 | 43 |