Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
292 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 292 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. #19134720 | C2 | semidirect |
| 4. #19132710 | C2 | semidirect |
| 5. #19132706 | C2 | semidirect |
| 6. #19132680 | C2 | semidirect |
| 149. C43 | #13490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136311 | 2 |
| #19135506 | 2 |
| #19134720 | 2 |
| #19132710 | 2 |
| #19132706 | 2 |
| #19132680 | 2 |
| C2×C43×#361 | 2 |
| #13490 | 43 |