Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
472 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 472 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 |
|---|---|---|
| 1. #19147736 | C2 | semidirect |
| 2. #19136910 | C2 | semidirect |
| 3. #19136904 | C2 | semidirect |
| 4. C2×D1376 | C2 | semidirect |
| 5. C43×#2258 | C2 | semidirect |
| 8. #14583331 | C22 | semidirect |
| 9. C2×D688 | C22 | semidirect |
| 10. Dic688 | C22 | semidirect |
| 11. #14582738 | C22 | semidirect |
| 12. D1376 | C22 | semidirect |
| 13. D1376 | C22 | semidirect |
| 15. C43×M64 | C22 | semidirect |
| 16. C2×C32×C43 | C22 | semidirect |
| 65. #2258 | D43 | semidirect |
| 78. M64 | C2×D43 | semidirect |
| 79. C2×C32 | C2×D43 | semidirect |
| 80. C43 | #33982 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147736 | 2 |
| #19136910 | 2 |
| #19136904 | 2 |
| C2×D1376 | 2 |
| C43×#2258 | 2 |
| #33982 | 43 |