Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
434 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 119 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. #19134733 | C2 | semidirect |
| 4. #19132491 | C2 | semidirect |
| 5. C43×#1564 | C2 | semidirect |
| 133. #1564 | D43 | semidirect |
| 157. C43 | #8664 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582978 | 2 |
| #19134733 | 2 |
| #19133021 | 2 |
| #19132491 | 2 |
| C43×#1564 | 2 |
| #8664 | 43 |