Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
470 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19135539 | C2 | semidirect |
| 5. #19133283 | C2 | semidirect |
| 6. #19132497 | C2 | semidirect |
| 7. C43×#1565 | C2 | semidirect |
| 92. M16×C43 | SD16 | semidirect |
| 189. #1565 | D43 | semidirect |
| 219. C43 | #10504 | semidirect |
| 287. M16 | #10621873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145538 | 2 |
| #19135539 | 2 |
| #19135521 | 2 |
| #19135435 | 2 |
| #19133283 | 2 |
| #19132497 | 2 |
| C43×#1565 | 2 |
| #10504 | 43 |