Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
508 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 508 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. #19139606 | C2 | semidirect |
| 5. #19132462 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 7. C43×#1294 | C2 | semidirect |
| 28. C22×D172 | Q8 | semidirect |
| 39. C2×C4⋊Dic43 | Q8 | semidirect |
| 224. #1294 | D43 | semidirect |
| 256. C43 | #10374 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139606 | 2 |
| #19135430 | 2 |
| #19133164 | 2 |
| C2×#14582632 | 2 |
| #19132462 | 2 |
| #19132442 | 2 |
| C43×#1294 | 2 |
| #10374 | 43 |