Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
612 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 2. #19135538 | C2 | semidirect |
| 3. #19133106 | C2 | semidirect |
| 5. #19132488 | C2 | semidirect |
| 6. #19132451 | C2 | semidirect |
| 10. #14583179 | C4 | semidirect |
| 11. #14583104 | C4 | semidirect |
| 31. #13063325 | C2×C4 | semidirect |
| 32. #13063325 | C2×C4 | semidirect |
| 41. C4⋊(C43⋊C8) | C2×C4 | semidirect |
| 214. C43 | #9323 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144694 | 2 |
| #19135538 | 2 |
| #19133106 | 2 |
| #19133038 | 2 |
| #19132488 | 2 |
| #19132451 | 2 |
| C43×#2275 | 2 |
| #9323 | 43 |