Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
270 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 13. #14582723 | C4 | semidirect |
| 138. C43 | #13114 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582723 | 2 |
| #19135338 | 2 |
| #19132705 | 2 |
| #19132695 | 2 |
| #19132679 | 2 |
| C43×#1778 | 2 |
| #13114 | 43 |