Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
734 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 734 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19144596 | C2 | semidirect |
| 2. #19144595 | C2 | semidirect |
| 3. #19137874 | C2 | semidirect |
| 4. #19135426 | C2 | semidirect |
| 5. #19133019 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#1486 | C2 | semidirect |
| 39. #13063325 | D4 | semidirect |
| 40. #13063322 | D4 | semidirect |
| 67. C4×C43⋊C8 | D4 | semidirect |
| 84. C4×C8×C43 | D4 | semidirect |
| 142. C4×Dic43 | D8 | semidirect |
| 234. #1486 | D43 | semidirect |
| 268. C43 | #10012 | semidirect |
| 318. C4×C8 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144596 | 2 |
| #19144595 | 2 |
| #19137874 | 2 |
| #19135426 | 2 |
| #19133019 | 2 |
| #19132423 | 2 |
| C43×#1486 | 2 |
| #10012 | 43 |