Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
658 conjugacy classes of subgroups; only the 239 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 239 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 |
|---|---|---|
| 125. C43 | #21676 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137900 | 2 |
| #19135316 | 2 |
| #19135157 | 2 |
| #19134460 | 2 |
| #19134456 | 2 |
| #19134282 | 2 |
| C43×#1832 | 2 |
| #21676 | 43 |