Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
492 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19140471 | C2 | semidirect |
| 4. #19133221 | C2 | semidirect |
| 6. #19132460 | C2 | semidirect |
| 7. C43×#1491 | C2 | semidirect |
| 190. #1491 | D43 | semidirect |
| 222. C43 | #10021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144996 | 2 |
| #19144717 | 2 |
| #19140471 | 2 |
| #19133221 | 2 |
| #19133143 | 2 |
| #19132460 | 2 |
| C43×#1491 | 2 |
| #10021 | 43 |