Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
648 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19137642 | C2 | semidirect |
| 3. #19135430 | C2 | semidirect |
| 4. #19133162 | C2 | semidirect |
| 5. C2×#14582632 | C2 | semidirect |
| 6. #19132441 | C2 | semidirect |
| 7. C43×#1294 | C2 | semidirect |
| 12. #14583213 | C4 | semidirect |
| 15. #14583035 | C4 | semidirect |
| 31. C22×D172 | C2×C4 | semidirect |
| 48. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 76. C22⋊C8×C43 | C2×C4 | semidirect |
| 131. C22⋊Dic43 | D8 | semidirect |
| 264. #1294 | D43 | semidirect |
| 300. C43 | #9277 | semidirect |
| 343. C22⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145346 | 2 |
| #19137642 | 2 |
| #19135430 | 2 |
| #19133162 | 2 |
| C2×#14582632 | 2 |
| #19132441 | 2 |
| C43×#1294 | 2 |
| #9277 | 43 |