Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
558 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 101 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. #340×D43 | C2 | semidirect |
| 4. #19132605 | C2 | semidirect |
| 5. #19132604 | C2 | semidirect |
| 6. #19132603 | C2 | semidirect |
| 7. C43×#1347 | C2 | semidirect |
| 8. C2×D8×D43 | C4 | semidirect |
| 13. #14583136 | C4 | semidirect |
| 17. #14583132 | C4 | semidirect |
| 18. #107×D43 | C4 | semidirect |
| 20. C22⋊(C43⋊C16) | C22 | semidirect |
| 22. #14582662 | C22 | semidirect |
| 25. C43×C22⋊C16 | C22 | semidirect |
| 26. C43×#340 | C22 | semidirect |
| 31. C2×D344 | C2×C4 | semidirect |
| 53. #13063259 | C2×C4 | semidirect |
| 58. C2×D8×C43 | C2×C4 | semidirect |
| 63. #107×C43 | C2×C4 | semidirect |
| 205. #1347 | D43 | direct (N × H) |
| 214. D43 | #1347 | direct (N × H) |
| 230. C22⋊C16 | C2×D43 | semidirect |
| 233. #340 | C2×D43 | semidirect |
| 234. C43 | C2×#1347 | semidirect |
| 242. C2×D8 | C4×D43 | semidirect |
| 268. #107 | C4×D43 | 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 |
| #340×D43 | 2 |
| #19132605 | 2 |
| #19132604 | 2 |
| #19132603 | 2 |
| C43×#1347 | 2 |
| C2×#1347 | 43 |