Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
284 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 1. C2×#14582724 | C2 | semidirect |
| 5. #19132704 | C2 | semidirect |
| 6. #19132688 | C2 | semidirect |
| 7. C43×#1387 | C2 | semidirect |
| 137. #1387 | D43 | semidirect |
| 158. C43 | #13495 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582724 | 2 |
| #19136210 | 2 |
| #19134660 | 2 |
| #19134656 | 2 |
| #19132704 | 2 |
| #19132688 | 2 |
| C43×#1387 | 2 |
| #13495 | 43 |