Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
566 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #19133158 | C2 | semidirect |
| 4. #19133095 | C2 | semidirect |
| 6. #19132496 | C2 | semidirect |
| 7. C43×#1286 | C2 | semidirect |
| 12. #14583190 | C4 | semidirect |
| 13. #14583180 | C4 | semidirect |
| 32. #13063325 | C2×C4 | semidirect |
| 33. #13063325 | C2×C4 | semidirect |
| 67. C4⋊C8×C43 | C2×C4 | semidirect |
| 196. #1286 | D43 | semidirect |
| 224. C43 | #9175 | semidirect |
| 256. C4⋊C8 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144394 | 2 |
| #19137503 | 2 |
| #19133158 | 2 |
| #19133095 | 2 |
| #19132985 | 2 |
| #19132496 | 2 |
| C43×#1286 | 2 |
| #9175 | 43 |