Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
636 conjugacy classes of subgroups; only the 351 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 351 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. #19136369 | C2 | semidirect |
| 4. C2×#14582723 | C2 | semidirect |
| 7. #14583316 | C4 | semidirect |
| 22. #13063265 | C2×C4 | semidirect |
| 24. C2×C43⋊C16 | C2×C4 | semidirect |
| 101. C43 | #33404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147698 | 2 |
| #19143190 | 2 |
| #19136369 | 2 |
| C2×#14582723 | 2 |
| C43×#2916 | 2 |
| #33404 | 43 |