Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
460 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 149 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. C22×Dic356 | C2 | semidirect |
| 3. #19151856 | C2 | semidirect |
| 4. #19151839 | C2 | semidirect |
| 5. #19151636 | C2 | semidirect |
| 6. #19151608 | C2 | semidirect |
| 89. C89 | #3059 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic356 | 2 |
| #19152169 | 2 |
| #19151856 | 2 |
| #19151839 | 2 |
| #19151636 | 2 |
| #19151608 | 2 |
| C2×#131×C89 | 2 |
| #3059 | 89 |