Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
628 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 628 conjugacy classes of subgroups — too many to draw. Only its 123 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. C4×#13063240 | C2 | semidirect |
| 4. #19132719 | C2 | semidirect |
| 5. C4×#99×C43 | C2 | semidirect |
| 7. C2×C4×D172 | C4 | semidirect |
| 10. #14582800 | C4 | semidirect |
| 15. #14582764 | C4 | semidirect |
| 17. #14582745 | C4 | semidirect |
| 18. #14582691 | C4 | semidirect |
| 43. #13063240 | C2×C4 | semidirect |
| 61. #99×C43 | C2×C4 | semidirect |
| 95. C2×D172 | C42 | semidirect |
| 119. C4×Dic43 | C42 | semidirect |
| 215. C4×#99 | D43 | semidirect |
| 243. C43 | #12628 | semidirect |
| 276. #99 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137317 | 2 |
| C2×#14582691 | 2 |
| C4×#13063240 | 2 |
| #19132719 | 2 |
| C4×#99×C43 | 2 |
| #12628 | 43 |