Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
486 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19134328 | C2 | semidirect |
| 3. #19132617 | C2 | semidirect |
| 5. C43×#1464 | C2 | semidirect |
| 6. C2×#13063313 | C4 | semidirect |
| 8. #14582819 | C4 | semidirect |
| 9. #14582816 | C4 | semidirect |
| 16. #14582745 | C4 | semidirect |
| 188. #1464 | D43 | semidirect |
| 216. C43 | #11758 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140282 | 2 |
| #19134328 | 2 |
| #19132617 | 2 |
| #19132593 | 2 |
| C43×#1464 | 2 |
| #11758 | 43 |