Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
468 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 1. #19145986 | C2 | semidirect |
| 4. #19133108 | C2 | semidirect |
| 5. #19133107 | C2 | semidirect |
| 6. #19132505 | C2 | semidirect |
| 224. C43 | #10216 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145986 | 2 |
| #19145789 | 2 |
| #19135428 | 2 |
| #19133108 | 2 |
| #19133107 | 2 |
| #19132505 | 2 |
| C43×#3235 | 2 |
| #10216 | 43 |