Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
508 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19139601 | C2 | semidirect |
| 4. #19132473 | C2 | semidirect |
| 5. #19132462 | C2 | semidirect |
| 6. #19132443 | C2 | semidirect |
| 52. C22×D4×C43 | Q8 | semidirect |
| 59. C2×C4⋊C4×C43 | Q8 | semidirect |
| 256. C43 | #10374 | semidirect |
| 259. C22×D4 | Dic86 | semidirect |
| 277. C2×C4⋊C4 | Dic86 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139601 | 2 |
| #19133163 | 2 |
| C2×#14582633 | 2 |
| #19132473 | 2 |
| #19132462 | 2 |
| #19132443 | 2 |
| C43×#1964 | 2 |
| #10374 | 43 |