Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. #19132608 | C2 | semidirect |
| 5. #19132607 | C2 | semidirect |
| 6. #19132606 | C2 | semidirect |
| 7. C43×#1348 | C2 | semidirect |
| 8. C2×Q16×D43 | C4 | semidirect |
| 13. #14583141 | C4 | semidirect |
| 17. #14583137 | C4 | semidirect |
| 18. #107×D43 | C4 | semidirect |
| 187. #1348 | D43 | semidirect |
| 214. C43 | #11706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #467×D43 | 2 |
| #19136204 | 2 |
| #19134310 | 2 |
| #19132608 | 2 |
| #19132607 | 2 |
| #19132606 | 2 |
| C43×#1348 | 2 |
| #11706 | 43 |