Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
620 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 620 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 |
|---|---|---|
| 2. #19137503 | C2 | semidirect |
| 3. #19133090 | C2 | semidirect |
| 4. #19132987 | C2 | semidirect |
| 5. #19132497 | C2 | semidirect |
| 6. #19132453 | C2 | semidirect |
| 7. C43×#1517 | C2 | semidirect |
| 12. #14583101 | C4 | semidirect |
| 13. #14583091 | C4 | semidirect |
| 51. C4⋊(C43⋊C8) | C2×C4 | semidirect |
| 60. C4⋊Q8×C43 | C2×C4 | semidirect |
| 61. #127×C43 | C2×C4 | semidirect |
| 210. #1517 | D43 | semidirect |
| 243. C43 | #9179 | semidirect |
| 253. C4⋊Q8 | C4×D43 | semidirect |
| 254. #127 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144055 | 2 |
| #19137503 | 2 |
| #19133090 | 2 |
| #19132987 | 2 |
| #19132497 | 2 |
| #19132453 | 2 |
| C43×#1517 | 2 |
| #9179 | 43 |