Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
380 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 380 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. C2×#14582721 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132699 | C2 | semidirect |
| 7. C2×C43×#365 | C2 | semidirect |
| 18. #14582682 | C4 | semidirect |
| 137. C2×#365 | D43 | semidirect |
| 163. C43 | #12933 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143203 | 2 |
| C2×#14582721 | 2 |
| #19136222 | 2 |
| #19134655 | 2 |
| #19132708 | 2 |
| #19132699 | 2 |
| C2×C43×#365 | 2 |
| #12933 | 43 |