Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
202 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 1. #19136869 | C2 | semidirect |
| 3. #19132774 | C2 | semidirect |
| 4. #19132773 | C2 | semidirect |
| 5. #19132772 | C2 | semidirect |
| 6. C32×Dic43 | C2 | semidirect |
| 7. C43×#1415 | C2 | semidirect |
| 92. #1415 | D43 | semidirect |
| 110. C43 | #13719 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136869 | 2 |
| #19136843 | 2 |
| #19132774 | 2 |
| #19132773 | 2 |
| #19132772 | 2 |
| C32×Dic43 | 2 |
| C43×#1415 | 2 |
| #13719 | 43 |