Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
484 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19135569 | C2 | semidirect |
| 4. #19133159 | C2 | semidirect |
| 6. #19132439 | C2 | semidirect |
| 7. C43×#3209 | C2 | semidirect |
| 175. #3209 | D43 | semidirect |
| 210. C43 | #10223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145723 | 2 |
| #19144943 | 2 |
| #19135569 | 2 |
| #19133159 | 2 |
| #19133156 | 2 |
| #19132439 | 2 |
| C43×#3209 | 2 |
| #10223 | 43 |