Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1318 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 1318 conjugacy classes of subgroups — too many to draw. Only its 207 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 |
|---|---|---|
| 3. #19135738 | C2 | semidirect |
| 4. #19135678 | C2 | semidirect |
| 5. #19134950 | C2 | semidirect |
| 6. #19134908 | C2 | semidirect |
| 7. #19134666 | C2 | semidirect |
| 8. C2×C43×#541 | C2 | semidirect |
| 13. C2×#13063249 | C22 | semidirect |
| 20. #14582661 | C22 | semidirect |
| 21. #14582654 | C22 | semidirect |
| 22. #14582654 | C22 | semidirect |
| 24. C2×C4⋊Q8×C43 | C22 | semidirect |
| 27. C2×#125×C43 | C22 | semidirect |
| 29. C2×C4×Q8×C43 | C22 | semidirect |
| 181. C2×#541 | D43 | semidirect |
| 198. C2×C4⋊Q8 | C2×D43 | semidirect |
| 201. C2×#125 | C2×D43 | semidirect |
| 203. C2×C4×Q8 | C2×D43 | semidirect |
| 217. C43 | #23942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583049 | 2 |
| #19137175 | 2 |
| #19135738 | 2 |
| #19135678 | 2 |
| #19134950 | 2 |
| #19134908 | 2 |
| #19134666 | 2 |
| C2×C43×#541 | 2 |
| #23942 | 43 |