Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
458 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19136315 | C2 | semidirect |
| 5. #19132697 | C2 | semidirect |
| 6. #19132696 | C2 | semidirect |
| 7. C43×#2141 | C2 | semidirect |
| 14. #14583154 | C4 | semidirect |
| 162. #2141 | D43 | semidirect |
| 189. C43 | #13075 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147697 | 2 |
| #19144246 | 2 |
| #19136315 | 2 |
| #19134638 | 2 |
| #19132697 | 2 |
| #19132696 | 2 |
| C43×#2141 | 2 |
| #13075 | 43 |