Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
530 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 3. #19135568 | C2 | semidirect |
| 4. #19135415 | C2 | semidirect |
| 5. #19132477 | C2 | semidirect |
| 6. #19132477 | C2 | semidirect |
| 10. #14583258 | C4 | semidirect |
| 36. #13063325 | C2×C4 | semidirect |
| 53. #13063236 | C2×C4 | semidirect |
| 246. C43 | #8999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583258 | 2 |
| #19137769 | 2 |
| #19135568 | 2 |
| #19135415 | 2 |
| #19132477 | 2 |
| C2×C43×#329 | 2 |
| #8999 | 43 |