Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
818 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 818 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. C2×#14582687 | C2 | semidirect |
| 3. #19134513 | C2 | semidirect |
| 4. #19132714 | C2 | semidirect |
| 5. C2×C43×#413 | C2 | semidirect |
| 6. C2×#13063293 | C4 | semidirect |
| 8. C22×(C2×D43)⋊C4 | C4 | semidirect |
| 13. #14582779 | C4 | semidirect |
| 18. #14582762 | C4 | semidirect |
| 71. #100×C43 | D4 | semidirect |
| 258. C2×#413 | D43 | semidirect |
| 291. C43 | #13083 | semidirect |
| 329. #100 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137910 | 2 |
| C2×#14582687 | 2 |
| #19134513 | 2 |
| #19132714 | 2 |
| C2×C43×#413 | 2 |
| #13083 | 43 |