Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
674 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 9. #14583297 | C4 | semidirect |
| 127. C43 | #22253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583297 | 2 |
| #19137341 | 2 |
| #19135567 | 2 |
| #19135179 | 2 |
| #19135172 | 2 |
| #19134346 | 2 |
| C43×#1835 | 2 |
| #22253 | 43 |