Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
278 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19134718 | C2 | semidirect |
| 4. #19132696 | C2 | semidirect |
| 5. #19132691 | C2 | semidirect |
| 6. #19132683 | C2 | semidirect |
| 159. C43 | #13489 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136344 | 2 |
| #19135494 | 2 |
| #19134718 | 2 |
| #19132696 | 2 |
| #19132691 | 2 |
| #19132683 | 2 |
| C43×#2138 | 2 |
| #13489 | 43 |