Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
322 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 18. C2×#10621877 | C8 | semidirect |
| 24. C22×C43⋊C8 | C8 | semidirect |
| 156. C43 | #7190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134292 | 2 |
| #19132909 | 2 |
| C43×#1458 | 2 |
| #7190 | 43 |