Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 474 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. C2×#14582692 | C2 | semidirect |
| 3. #19132759 | C2 | semidirect |
| 4. #19132757 | C2 | semidirect |
| 5. C2×C43×#353 | C2 | semidirect |
| 8. #14583449 | C4 | semidirect |
| 11. #14583275 | C4 | semidirect |
| 13. #14583271 | C4 | semidirect |
| 16. C4×#10621877 | C4 | semidirect |
| 37. #13063325 | C2×C4 | semidirect |
| 38. #13063322 | C2×C4 | semidirect |
| 46. C4×C43⋊C8 | C2×C4 | semidirect |
| 47. C4×C43⋊C8 | C2×C4 | semidirect |
| 184. C2×#353 | D43 | semidirect |
| 213. C43 | #13584 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145045 | 2 |
| C2×#14582692 | 2 |
| #19132759 | 2 |
| #19132757 | 2 |
| C2×C43×#353 | 2 |
| #13584 | 43 |