Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1030 conjugacy classes of subgroups; only the 251 normal subgroups are shown.
This group has 1030 conjugacy classes of subgroups — too many to draw. Only its 251 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. C2×#14583297 | C2 | semidirect |
| 2. C2×#14583271 | C2 | semidirect |
| 3. C2×#14583245 | C2 | semidirect |
| 4. #19134221 | C2 | direct (N × H) |
| 5. C2×#14582620 | C2 | semidirect |
| 10. #14583297 | C22 | semidirect |
| 12. #14583271 | C22 | semidirect |
| 14. #14583245 | C22 | semidirect |
| 18. #14582620 | C22 | semidirect |
| 76. C2×C8×C43 | SD16 | semidirect |
| 113. C8×C43 | C2×SD16 | semidirect |
| 138. C2×C43 | #1715 | semidirect |
| 159. C43 | C2×#1715 | semidirect |
| 214. C2×C8 | #10621883 | semidirect |
| 249. C8 | C2×#10621883 | semidirect |
| 266. C2 | #19134221 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583297 | 2 |
| C2×#14583271 | 2 |
| C2×#14583245 | 2 |
| #19134221 | 2 |
| C2×#14582620 | 2 |
| C2×C43×#493 | 2 |
| C2×#1715 | 43 |