Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19132443 | C2 | semidirect |
| 5. #19132442 | C2 | semidirect |
| 6. #19132441 | C2 | semidirect |
| 7. C43×#1282 | C2 | semidirect |
| 236. #1282 | D43 | semidirect |
| 267. C43 | #8736 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137190 | 2 |
| C2×#14582622 | 2 |
| #19132443 | 2 |
| #19132442 | 2 |
| #19132441 | 2 |
| C43×#1282 | 2 |
| #8736 | 43 |