Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
196 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19136846 | C2 | semidirect |
| 4. #19132792 | C2 | semidirect |
| 5. #19132789 | C2 | semidirect |
| 6. #19132788 | C2 | semidirect |
| 117. C43 | #13693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136912 | 2 |
| #19136846 | 2 |
| #19136476 | 2 |
| #19132792 | 2 |
| #19132789 | 2 |
| #19132788 | 2 |
| C43×#2264 | 2 |
| #13693 | 43 |