Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
540 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 229 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. #19151497 | C2 | semidirect |
| 3. #19151491 | C2 | semidirect |
| 4. #19151461 | C2 | semidirect |
| 5. #19151458 | C2 | semidirect |
| 6. C4×C4⋊Dic89 | C2 | semidirect |
| 7. #19151444 | C2 | semidirect |
| 22. C4×D4×C89 | C4 | semidirect |
| 97. C89 | #2319 | semidirect |
| 108. C4×D4 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151501 | 2 |
| #19151497 | 2 |
| #19151491 | 2 |
| #19151461 | 2 |
| #19151458 | 2 |
| C4×C4⋊Dic89 | 2 |
| #19151444 | 2 |
| C2×C4×D4×C89 | 2 |
| #2319 | 89 |