Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
508 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 508 conjugacy classes of subgroups — too many to draw. Only its 157 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 |
|---|---|---|
| 2. #19151536 | C2 | semidirect |
| 3. #19151531 | C2 | semidirect |
| 4. #19151517 | C2 | semidirect |
| 31. C22×Dic89 | Q8 | semidirect |
| 102. C89 | #2627 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083553 | 2 |
| #19151536 | 2 |
| #19151531 | 2 |
| #19151517 | 2 |
| #19151470 | 2 |
| #19151459 | 2 |
| #19151458 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2627 | 89 |