Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19136393 | C2 | semidirect |
| 3. #19133352 | C2 | semidirect |
| 4. #19132642 | C2 | semidirect |
| 5. #19132641 | C2 | semidirect |
| 6. #19132640 | C2 | semidirect |
| 7. C43×#1361 | C2 | semidirect |
| 17. C4⋊(C43⋊C16) | C22 | semidirect |
| 20. #14582652 | C22 | semidirect |
| 23. C43×C4⋊C16 | C22 | semidirect |
| 24. C43×#335 | C22 | semidirect |
| 160. #1361 | D43 | semidirect |
| 178. C4⋊C16 | C2×D43 | semidirect |
| 183. #335 | C2×D43 | semidirect |
| 184. C43 | #11961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #493×D43 | 2 |
| #19136393 | 2 |
| #19133352 | 2 |
| #19132642 | 2 |
| #19132641 | 2 |
| #19132640 | 2 |
| C43×#1361 | 2 |
| #11961 | 43 |