Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
564 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19137678 | C2 | semidirect |
| 4. #19133168 | C2 | semidirect |
| 6. #19132475 | C2 | semidirect |
| 7. C43×#1282 | C2 | semidirect |
| 10. #14583230 | C4 | semidirect |
| 13. #14583052 | C4 | semidirect |
| 119. C22⋊C4×C43 | SD16 | semidirect |
| 240. #1282 | D43 | semidirect |
| 274. C43 | #9278 | semidirect |
| 379. C22⋊C4 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145353 | 2 |
| #19137678 | 2 |
| #19135431 | 2 |
| #19133168 | 2 |
| C2×#14582634 | 2 |
| #19132475 | 2 |
| C43×#1282 | 2 |
| #9278 | 43 |