Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 131 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. #19136874 | C2 | semidirect |
| 3. #19136802 | C2 | semidirect |
| 4. #19136796 | C2 | semidirect |
| 5. #19136759 | C2 | semidirect |
| 6. #19136700 | C2 | semidirect |
| 8. #19136380 | C2 | semidirect |
| 9. C4×Q32×C43 | C2 | semidirect |
| 135. C4×Q32 | D43 | semidirect |
| 167. C43 | #33919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19146965 | 2 |
| #19136874 | 2 |
| #19136802 | 2 |
| #19136796 | 2 |
| #19136759 | 2 |
| #19136700 | 2 |
| #19136428 | 2 |
| #19136380 | 2 |
| C4×Q32×C43 | 2 |
| #33919 | 43 |