Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
610 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 610 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 |
|---|---|---|
| 3. #19139073 | C2 | semidirect |
| 5. #19134686 | C2 | semidirect |
| 6. #19133168 | C2 | semidirect |
| 7. C43×#1282 | C2 | semidirect |
| 109. C22⋊C4×C43 | SD16 | semidirect |
| 209. #1282 | D43 | semidirect |
| 241. C43 | #9951 | semidirect |
| 338. 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 |
| C2×#14583218 | 2 |
| #19139073 | 2 |
| #19135431 | 2 |
| #19134686 | 2 |
| #19133168 | 2 |
| C43×#1282 | 2 |
| #9951 | 43 |