Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
456 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19134631 | C2 | semidirect |
| 3. #19134622 | C2 | semidirect |
| 6. #19132500 | C2 | semidirect |
| 7. C43×#1305 | C2 | semidirect |
| 8. C2×#13063333 | C4 | semidirect |
| 17. #14582927 | C4 | semidirect |
| 18. #14582867 | C4 | semidirect |
| 20. #14582857 | C4 | semidirect |
| 212. #1305 | D43 | semidirect |
| 244. C43 | #8627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143285 | 2 |
| #19134631 | 2 |
| #19134622 | 2 |
| #19133139 | 2 |
| #19133136 | 2 |
| #19132500 | 2 |
| C43×#1305 | 2 |
| #8627 | 43 |