Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
576 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19137707 | C2 | semidirect |
| 3. #19133104 | C2 | semidirect |
| 4. #19132487 | C2 | semidirect |
| 5. C43×#1533 | C2 | semidirect |
| 9. #14583294 | C4 | semidirect |
| 10. #14583289 | C4 | semidirect |
| 34. #13063325 | C2×C4 | semidirect |
| 35. #13063322 | C2×C4 | semidirect |
| 44. #13063236 | C2×C4 | semidirect |
| 167. #1533 | D43 | semidirect |
| 193. C43 | #9441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145059 | 2 |
| #19137707 | 2 |
| #19133104 | 2 |
| #19132487 | 2 |
| C43×#1533 | 2 |
| #9441 | 43 |