Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
372 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 65 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. #19136832 | C2 | semidirect |
| 3. #19136742 | C2 | semidirect |
| 4. #19134109 | C2 | semidirect |
| 5. #19132637 | C2 | semidirect |
| 6. #19132554 | C2 | semidirect |
| 7. C43×#1333 | C2 | semidirect |
| 10. #14583304 | C22 | semidirect |
| 19. C4⋊(C43⋊C16) | C22 | semidirect |
| 25. C43×#346 | C22 | semidirect |
| 26. C43×#334 | C22 | semidirect |
| 79. D8×C43 | SD16 | semidirect |
| 166. #1333 | D43 | semidirect |
| 190. #346 | C2×D43 | semidirect |
| 191. #334 | C2×D43 | semidirect |
| 193. C43 | #12378 | semidirect |
| 253. D8 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146205 | 2 |
| #19136832 | 2 |
| #19136742 | 2 |
| #19134109 | 2 |
| #19132637 | 2 |
| #19132554 | 2 |
| C43×#1333 | 2 |
| #12378 | 43 |