Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
650 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 650 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 |
|---|---|---|
| 1. #19145515 | C2 | semidirect |
| 2. #19145510 | C2 | semidirect |
| 3. #19145040 | C2 | semidirect |
| 4. #19135418 | C2 | semidirect |
| 5. #19133154 | C2 | semidirect |
| 6. #19132439 | C2 | semidirect |
| 7. C43×#1517 | C2 | semidirect |
| 131. C2×C43⋊C8 | D8 | semidirect |
| 210. #1517 | D43 | semidirect |
| 243. C43 | #10218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145515 | 2 |
| #19145510 | 2 |
| #19145040 | 2 |
| #19135418 | 2 |
| #19133154 | 2 |
| #19132439 | 2 |
| C43×#1517 | 2 |
| #10218 | 43 |