Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
476 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19132933 | C2 | semidirect |
| 3. #19132615 | C2 | semidirect |
| 4. #19132591 | C2 | semidirect |
| 5. C43×#1799 | C2 | semidirect |
| 6. C2×#13063313 | C4 | semidirect |
| 9. #14582811 | C4 | semidirect |
| 11. #14582808 | C4 | semidirect |
| 16. #14582767 | C4 | semidirect |
| 198. #1799 | D43 | semidirect |
| 228. C43 | #11825 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140447 | 2 |
| #19132933 | 2 |
| #19132615 | 2 |
| #19132591 | 2 |
| C43×#1799 | 2 |
| #11825 | 43 |