Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
416 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19142666 | C2 | semidirect |
| 2. #19135816 | C2 | semidirect |
| 3. #19133598 | C2 | semidirect |
| 4. #19132602 | C2 | semidirect |
| 5. #19132598 | C2 | semidirect |
| 6. #19132540 | C2 | semidirect |
| 110. C4×Dic43 | D8 | semidirect |
| 222. C43 | #12155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142666 | 2 |
| #19135816 | 2 |
| #19133598 | 2 |
| #19132602 | 2 |
| #19132598 | 2 |
| #19132540 | 2 |
| C43×#1598 | 2 |
| #12155 | 43 |