Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
672 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19133227 | C2 | semidirect |
| 3. #19133173 | C2 | semidirect |
| 4. #19133147 | C2 | semidirect |
| 5. #19133142 | C2 | semidirect |
| 6. #19133069 | C2 | semidirect |
| 7. C43×#1553 | C2 | semidirect |
| 9. #14583614 | C4 | semidirect |
| 11. #14583606 | C4 | semidirect |
| 14. D4×Dic86 | C4 | semidirect |
| 16. #14583554 | C4 | semidirect |
| 264. #1553 | D43 | semidirect |
| 308. C43 | #8502 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148984 | 2 |
| #19133227 | 2 |
| #19133173 | 2 |
| #19133147 | 2 |
| #19133142 | 2 |
| #19133069 | 2 |
| C43×#1553 | 2 |
| #8502 | 43 |