Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 91 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. C22⋊C16×D43 | C2 | semidirect |
| 3. #341×D43 | C2 | semidirect |
| 4. #19132611 | C2 | semidirect |
| 5. #19132610 | C2 | semidirect |
| 6. #19132609 | C2 | semidirect |
| 7. C43×#1349 | C2 | semidirect |
| 20. C22⋊(C43⋊C16) | C22 | semidirect |
| 22. #14582664 | C22 | semidirect |
| 25. C43×C22⋊C16 | C22 | semidirect |
| 26. C43×#341 | C22 | semidirect |
| 190. #1349 | D43 | direct (N × H) |
| 198. D43 | #1349 | direct (N × H) |
| 214. C22⋊C16 | C2×D43 | semidirect |
| 217. #341 | C2×D43 | semidirect |
| 218. C43 | C2×#1349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #466×D43 | 2 |
| C22⋊C16×D43 | 2 |
| #341×D43 | 2 |
| #19132611 | 2 |
| #19132610 | 2 |
| #19132609 | 2 |
| C43×#1349 | 2 |
| C2×#1349 | 43 |