Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
826 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 826 conjugacy classes of subgroups — too many to draw. Only its 151 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. #19132720 | C2 | semidirect |
| 4. #19132719 | C2 | semidirect |
| 5. C43×#1393 | C2 | semidirect |
| 7. C2×#13063282 | C4 | semidirect |
| 9. C2×C4⋊C4×D43 | C4 | semidirect |
| 11. #14582871 | C4 | semidirect |
| 14. #14582805 | C4 | semidirect |
| 15. #14582804 | C4 | semidirect |
| 45. #13063240 | C2×C4 | semidirect |
| 55. #99×C43 | C2×C4 | semidirect |
| 194. #1393 | D43 | semidirect |
| 218. C43 | #12583 | semidirect |
| 251. #99 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582871 | 2 |
| #19137185 | 2 |
| #19132720 | 2 |
| #19132719 | 2 |
| C43×#1393 | 2 |
| #12583 | 43 |