Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19136384 | C2 | semidirect |
| 5. #19135381 | C2 | semidirect |
| 6. #19132683 | C2 | semidirect |
| 7. C43×#1382 | C2 | semidirect |
| 20. #14582711 | C4 | semidirect |
| 42. #13063265 | C2×C4 | semidirect |
| 59. #108×C43 | C2×C4 | semidirect |
| 159. #1382 | D43 | semidirect |
| 185. C43 | #12940 | semidirect |
| 211. #108 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143446 | 2 |
| #19136384 | 2 |
| C2×#14582711 | 2 |
| C2×#14582701 | 2 |
| #19135381 | 2 |
| #19132683 | 2 |
| C43×#1382 | 2 |
| #12940 | 43 |