Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
624 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 624 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19136289 | C2 | semidirect |
| 3. #19136250 | C2 | semidirect |
| 5. #19132725 | C2 | semidirect |
| 6. #19132717 | C2 | semidirect |
| 8. C2×#13063355 | C4 | semidirect |
| 9. C22×#10621885 | C4 | semidirect |
| 17. #14582908 | C4 | semidirect |
| 18. #14582895 | C4 | semidirect |
| 269. C43 | #13096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143890 | 2 |
| #19136289 | 2 |
| #19136250 | 2 |
| #19134570 | 2 |
| #19132725 | 2 |
| #19132717 | 2 |
| C43×#2889 | 2 |
| #13096 | 43 |