Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
358 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 2. C4×#13063260 | C2 | semidirect |
| 3. #19133356 | C2 | semidirect |
| 6. #19132466 | C2 | semidirect |
| 7. C43×#1291 | C2 | semidirect |
| 168. #1291 | D43 | semidirect |
| 197. C43 | #8693 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143564 | 2 |
| C4×#13063260 | 2 |
| #19133356 | 2 |
| #19133203 | 2 |
| #19133200 | 2 |
| #19132466 | 2 |
| C43×#1291 | 2 |
| #8693 | 43 |