Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 101 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. #19145716 | C2 | semidirect |
| 3. #19135416 | C2 | semidirect |
| 4. #19133156 | C2 | semidirect |
| 5. #19133155 | C2 | semidirect |
| 6. #19132439 | C2 | semidirect |
| 7. C43×#3226 | C2 | semidirect |
| 192. #3226 | D43 | semidirect |
| 228. C43 | #10225 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145716 | 2 |
| #19145040 | 2 |
| #19135416 | 2 |
| #19133156 | 2 |
| #19133155 | 2 |
| #19132439 | 2 |
| C43×#3226 | 2 |
| #10225 | 43 |