Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
678 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 678 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19145713 | C2 | semidirect |
| 3. #19142952 | C2 | semidirect |
| 4. #19133268 | C2 | semidirect |
| 5. #19133264 | C2 | semidirect |
| 6. #19132428 | C2 | semidirect |
| 7. C43×#1962 | C2 | semidirect |
| 109. C42×C43 | D8 | semidirect |
| 189. #1962 | D43 | semidirect |
| 220. C43 | #10284 | semidirect |
| 309. C42 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145713 | 2 |
| #19145510 | 2 |
| #19142952 | 2 |
| #19133268 | 2 |
| #19133264 | 2 |
| #19132428 | 2 |
| C43×#1962 | 2 |
| #10284 | 43 |