Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
212 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 67 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 | #12443 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136847 | 2 |
| #19136504 | 2 |
| #19133965 | 2 |
| #19132668 | 2 |
| #19132644 | 2 |
| #19132643 | 2 |
| C43×#1670 | 2 |
| #12443 | 43 |