Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
160 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 24. #13083564 | C8 | semidirect |
| 72. C89 | #1579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×#10623494 | 2 |
| #19151722 | 2 |
| C4×#13083564 | 2 |
| #19151348 | 2 |
| #19151330 | 2 |
| #19151320 | 2 |
| Q8⋊C8×C89 | 2 |
| #1579 | 89 |