Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
802 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 802 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19137423 | C2 | semidirect |
| 3. #19134540 | C2 | semidirect |
| 4. #19133111 | C2 | semidirect |
| 5. #19132501 | C2 | semidirect |
| 6. #19132481 | C2 | semidirect |
| 7. C43×#1964 | C2 | semidirect |
| 9. C2×#13063351 | C4 | semidirect |
| 15. #14582898 | C4 | semidirect |
| 43. C2×#10621877 | C2×C4 | semidirect |
| 60. C22×D4×C43 | C2×C4 | semidirect |
| 67. C2×C4⋊C4×C43 | C2×C4 | semidirect |
| 188. D172 | #99 | semidirect |
| 232. #1964 | D43 | semidirect |
| 267. C43 | #9365 | semidirect |
| 277. C22×D4 | C4×D43 | semidirect |
| 292. C2×C4⋊C4 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143845 | 2 |
| #19137423 | 2 |
| #19134540 | 2 |
| #19133111 | 2 |
| #19132501 | 2 |
| #19132481 | 2 |
| C43×#1964 | 2 |
| #9365 | 43 |