Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
596 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 596 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. #19151537 | C2 | semidirect |
| 3. #19151515 | C2 | semidirect |
| 4. #19151488 | C2 | semidirect |
| 5. #19151477 | C2 | semidirect |
| 6. #19151477 | C2 | semidirect |
| 7. C4×C22⋊Dic89 | C2 | semidirect |
| 8. C22×C4⋊C4×C89 | C2 | semidirect |
| 106. C89 | #2591 | semidirect |
| 108. C22×C4⋊C4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667986 | 2 |
| #19151537 | 2 |
| #19151515 | 2 |
| #19151488 | 2 |
| #19151477 | 2 |
| C4×C22⋊Dic89 | 2 |
| C22×C4⋊C4×C89 | 2 |
| #2591 | 89 |