Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
782 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 782 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. C2×#14582691 | C2 | semidirect |
| 3. #19134513 | C2 | semidirect |
| 4. #19132719 | C2 | semidirect |
| 5. C2×C43×#410 | C2 | semidirect |
| 7. C2×#13063314 | C4 | semidirect |
| 8. C2×#13063299 | C4 | semidirect |
| 13. #14582806 | C4 | semidirect |
| 18. C4×C22⋊Dic43 | C4 | semidirect |
| 71. #99×C43 | D4 | semidirect |
| 256. C2×#410 | D43 | semidirect |
| 290. C43 | #13089 | semidirect |
| 332. #99 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19138210 | 2 |
| C2×#14582691 | 2 |
| #19134513 | 2 |
| #19132719 | 2 |
| C2×C43×#410 | 2 |
| #13089 | 43 |