Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
426 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19136396 | C2 | semidirect |
| 3. #19133349 | C2 | semidirect |
| 4. #19132563 | C2 | semidirect |
| 5. #19132562 | C2 | semidirect |
| 6. #19132561 | C2 | semidirect |
| 7. C43×#1333 | C2 | semidirect |
| 21. #14582675 | C22 | semidirect |
| 22. #14582650 | C22 | semidirect |
| 25. C43×#346 | C22 | semidirect |
| 26. C43×#334 | C22 | semidirect |
| 78. D8×C43 | M16 | semidirect |
| 98. D344 | M16 | semidirect |
| 167. #1333 | D43 | semidirect |
| 189. #346 | C2×D43 | semidirect |
| 192. #334 | C2×D43 | semidirect |
| 193. C43 | #11663 | semidirect |
| 248. D8 | #10621872 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D8×D43 | 2 |
| #19136396 | 2 |
| #19133349 | 2 |
| #19132563 | 2 |
| #19132562 | 2 |
| #19132561 | 2 |
| C43×#1333 | 2 |
| #11663 | 43 |