Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
370 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19134736 | C2 | semidirect |
| 3. #19133318 | C2 | semidirect |
| 4. #19133317 | C2 | semidirect |
| 5. #19133205 | C2 | semidirect |
| 6. #19132505 | C2 | semidirect |
| 7. C43×#1530 | C2 | semidirect |
| 161. #1530 | D43 | semidirect |
| 188. C43 | #10525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145973 | 2 |
| #19134736 | 2 |
| #19133318 | 2 |
| #19133317 | 2 |
| #19133205 | 2 |
| #19132505 | 2 |
| C43×#1530 | 2 |
| #10525 | 43 |