Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19134759 | C2 | semidirect |
| 3. #19133160 | C2 | semidirect |
| 5. C43×#1452 | C2 | semidirect |
| 9. #14583250 | C4 | semidirect |
| 10. #14583246 | C4 | semidirect |
| 129. #1452 | 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 |
| #19134759 | 2 |
| #19133160 | 2 |
| #19133156 | 2 |
| C43×#1452 | 2 |
| #9758 | 43 |