Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
354 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 4. #19132622 | C2 | semidirect |
| 5. #19132601 | C2 | semidirect |
| 6. #19132541 | C2 | semidirect |
| 7. C43×#2794 | C2 | semidirect |
| 164. #2794 | D43 | semidirect |
| 196. C43 | #12142 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135819 | 2 |
| #19133631 | 2 |
| #19133597 | 2 |
| #19132622 | 2 |
| #19132601 | 2 |
| #19132541 | 2 |
| C43×#2794 | 2 |
| #12142 | 43 |