Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
576 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19144982 | C2 | semidirect |
| 2. #19144695 | C2 | semidirect |
| 4. #19133218 | C2 | semidirect |
| 5. #19133145 | C2 | semidirect |
| 6. #19133039 | C2 | semidirect |
| 7. C43×#1288 | C2 | semidirect |
| 39. #13063325 | D4 | semidirect |
| 40. #13063325 | D4 | semidirect |
| 77. #97×C43 | D4 | semidirect |
| 78. C4×C8×C43 | D4 | semidirect |
| 211. #1288 | D43 | semidirect |
| 243. C43 | #10022 | semidirect |
| 287. #97 | D172 | semidirect |
| 288. C4×C8 | D172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144982 | 2 |
| #19144695 | 2 |
| #19140450 | 2 |
| #19133218 | 2 |
| #19133145 | 2 |
| #19133039 | 2 |
| C43×#1288 | 2 |
| #10022 | 43 |