Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. #19151540 | C2 | semidirect |
| 3. #19151519 | C2 | semidirect |
| 5. #19151504 | C2 | semidirect |
| 6. #19151482 | C2 | semidirect |
| 47. C22×C4×C89 | Q8 | semidirect |
| 109. C89 | #2665 | semidirect |
| 149. C22×C4 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151540 | 2 |
| #19151521 | 2 |
| #19151519 | 2 |
| #19151510 | 2 |
| #19151504 | 2 |
| #19151482 | 2 |
| #19151461 | 2 |
| #19151458 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2665 | 89 |