Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
686 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19135589 | C2 | semidirect |
| 3. #19133318 | C2 | semidirect |
| 4. #19133203 | C2 | semidirect |
| 5. #19133061 | C2 | semidirect |
| 6. #19133011 | C2 | semidirect |
| 7. C43×#1470 | C2 | semidirect |
| 249. #1470 | D43 | semidirect |
| 285. C43 | #8486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149129 | 2 |
| #19135589 | 2 |
| #19133318 | 2 |
| #19133203 | 2 |
| #19133061 | 2 |
| #19133011 | 2 |
| C43×#1470 | 2 |
| #8486 | 43 |