Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
360 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 4. #19134476 | C2 | semidirect |
| 5. #19132703 | C2 | semidirect |
| 6. #19132676 | C2 | semidirect |
| 7. C43×#2159 | C2 | semidirect |
| 15. #14582713 | C4 | semidirect |
| 144. #2159 | D43 | semidirect |
| 173. C43 | #13136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582713 | 2 |
| #19136310 | 2 |
| #19135459 | 2 |
| #19134476 | 2 |
| #19132703 | 2 |
| #19132676 | 2 |
| C43×#2159 | 2 |
| #13136 | 43 |