Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19133158 | C2 | semidirect |
| 4. #19132887 | C2 | semidirect |
| 5. C43×#1846 | C2 | semidirect |
| 9. #14583250 | C4 | semidirect |
| 10. #14583246 | C4 | semidirect |
| 126. #1846 | D43 | semidirect |
| 150. C43 | #9758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144918 | 2 |
| #19133158 | 2 |
| #19133154 | 2 |
| #19132887 | 2 |
| C43×#1846 | 2 |
| #9758 | 43 |