Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
636 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 151 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 |
|---|---|---|
| 1. #19147748 | C2 | semidirect |
| 2. #19146400 | C2 | semidirect |
| 3. #19136848 | C2 | semidirect |
| 4. #19136720 | C2 | semidirect |
| 5. #19136677 | C2 | semidirect |
| 6. #19136575 | C2 | semidirect |
| 7. #19136477 | C2 | semidirect |
| 8. C43×#2170 | C2 | semidirect |
| 142. #2170 | D43 | semidirect |
| 169. C43 | #33860 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147748 | 2 |
| #19146400 | 2 |
| #19136848 | 2 |
| #19136720 | 2 |
| #19136677 | 2 |
| #19136575 | 2 |
| #19136477 | 2 |
| C43×#2170 | 2 |
| #33860 | 43 |