Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
330 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 330 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 |
|---|---|---|
| 1. #19136852 | C2 | semidirect |
| 2. #19136850 | C2 | semidirect |
| 3. #19136847 | C2 | semidirect |
| 5. #19134201 | C2 | semidirect |
| 6. C8×C43⋊C16 | C2 | semidirect |
| 7. C43×#1709 | C2 | semidirect |
| 100. #1709 | D43 | semidirect |
| 119. C43 | #12518 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136852 | 2 |
| #19136850 | 2 |
| #19136847 | 2 |
| #19136844 | 2 |
| #19134201 | 2 |
| C8×C43⋊C16 | 2 |
| C43×#1709 | 2 |
| #12518 | 43 |