Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
528 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 159 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. #19134341 | C2 | semidirect |
| 2. #19132421 | C2 | semidirect |
| 23. #124×C43 | C8 | semidirect |
| 150. C43 | #7567 | semidirect |
| 156. #124 | C43⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134341 | 2 |
| #19132421 | 2 |
| #19132416 | 2 |
| C4×#124×C43 | 2 |
| #7567 | 43 |