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. #19134538 | C2 | semidirect |
| 3. C4×#13063240 | C2 | semidirect |
| 4. #19132480 | C2 | semidirect |
| 5. C43×#2975 | C2 | semidirect |
| 10. #14582819 | C4 | semidirect |
| 11. #14582816 | C4 | semidirect |
| 13. #14582811 | C4 | semidirect |
| 14. #14582808 | C4 | semidirect |
| 54. C2×M16×C43 | D4 | semidirect |
| 154. C2×C4×C43 | #104 | semidirect |
| 212. #2975 | D43 | semidirect |
| 244. C43 | #9010 | semidirect |
| 257. C2×M16 | C22⋊D43 | semidirect |
| 394. C2×C4 | #13063251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137810 | 2 |
| #19134538 | 2 |
| C4×#13063240 | 2 |
| #19132480 | 2 |
| C43×#2975 | 2 |
| #9010 | 43 |