Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 474 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 |
|---|---|---|
| 1. #19135636 | C2 | semidirect |
| 2. #19133631 | C2 | semidirect |
| 3. #19133529 | C2 | semidirect |
| 4. #19132622 | C2 | semidirect |
| 5. #19132598 | C2 | semidirect |
| 6. #19132527 | C2 | semidirect |
| 7. C43×#2828 | C2 | semidirect |
| 209. #2828 | D43 | semidirect |
| 243. C43 | #12198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135636 | 2 |
| #19133631 | 2 |
| #19133529 | 2 |
| #19132622 | 2 |
| #19132598 | 2 |
| #19132527 | 2 |
| C43×#2828 | 2 |
| #12198 | 43 |