Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
300 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 300 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 |
|---|---|---|
| 3. #19136199 | C2 | semidirect |
| 5. #19132683 | C2 | semidirect |
| 6. #19132681 | C2 | semidirect |
| 7. C43×#2151 | C2 | semidirect |
| 133. #2151 | D43 | semidirect |
| 160. C43 | #13126 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136222 | 2 |
| C2×#14582682 | 2 |
| #19136199 | 2 |
| #19134396 | 2 |
| #19132683 | 2 |
| #19132681 | 2 |
| C43×#2151 | 2 |
| #13126 | 43 |