Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
454 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19142971 | C2 | semidirect |
| 5. #19132455 | C2 | semidirect |
| 6. #19132427 | C2 | semidirect |
| 7. C43×#1286 | C2 | semidirect |
| 25. #13063325 | Q8 | semidirect |
| 28. #13063322 | Q8 | semidirect |
| 170. #1286 | D43 | semidirect |
| 193. C43 | #10362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142971 | 2 |
| #19135422 | 2 |
| #19133156 | 2 |
| #19133154 | 2 |
| #19132455 | 2 |
| #19132427 | 2 |
| C43×#1286 | 2 |
| #10362 | 43 |