Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
648 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 648 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. C4×#13063240 | C2 | semidirect |
| 3. #19132617 | C2 | semidirect |
| 4. #19132593 | C2 | semidirect |
| 5. C43×#1460 | C2 | semidirect |
| 6. C22×#10621898 | C4 | semidirect |
| 9. #14582819 | C4 | semidirect |
| 10. #14582816 | C4 | semidirect |
| 17. C4×C22⋊Dic43 | C4 | semidirect |
| 205. #1460 | D43 | semidirect |
| 233. C43 | #11725 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137810 | 2 |
| C4×#13063240 | 2 |
| #19132617 | 2 |
| #19132593 | 2 |
| C43×#1460 | 2 |
| #11725 | 43 |