Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
622 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 622 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19139500 | C2 | semidirect |
| 3. #19133155 | C2 | semidirect |
| 4. #19133019 | C2 | semidirect |
| 5. #19132990 | C2 | semidirect |
| 6. #19132455 | C2 | semidirect |
| 7. C43×#3037 | C2 | semidirect |
| 97. C2×Q8×C43 | D8 | semidirect |
| 238. #3037 | D43 | semidirect |
| 276. C43 | #9997 | semidirect |
| 341. C2×Q8 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144591 | 2 |
| #19139500 | 2 |
| #19133155 | 2 |
| #19133019 | 2 |
| #19132990 | 2 |
| #19132455 | 2 |
| C43×#3037 | 2 |
| #9997 | 43 |