Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
698 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 698 conjugacy classes of subgroups — too many to draw. Only its 87 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. #19136129 | C2 | semidirect |
| 3. #19132416 | C2 | semidirect |
| 4. #19132415 | C2 | semidirect |
| 5. C43×#2094 | C2 | semidirect |
| 13. #14582654 | C22 | semidirect |
| 17. C43×#384 | C22 | semidirect |
| 18. C43×#336 | C22 | semidirect |
| 160. #2094 | D43 | semidirect |
| 180. #384 | C2×D43 | semidirect |
| 182. #336 | C2×D43 | semidirect |
| 183. C43 | #7822 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140930 | 2 |
| #19136129 | 2 |
| #19132416 | 2 |
| #19132415 | 2 |
| C43×#2094 | 2 |
| #7822 | 43 |