Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
514 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 514 conjugacy classes of subgroups — too many to draw. Only its 155 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. #19136870 | C2 | semidirect |
| 3. #19136822 | C2 | semidirect |
| 5. Q32×Dic43 | C2 | semidirect |
| 7. C43×#2247 | C2 | semidirect |
| 90. C4×D43 | Q32 | semidirect |
| 112. #2247 | D43 | semidirect |
| 137. C43 | #33734 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145179 | 2 |
| #19136870 | 2 |
| #19136822 | 2 |
| #19136683 | 2 |
| Q32×Dic43 | 2 |
| C4×C16×D43 | 2 |
| C43×#2247 | 2 |
| #33734 | 43 |