Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
368 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152008 | C2 | semidirect |
| 3. #19151964 | C2 | semidirect |
| 4. #19151916 | C2 | semidirect |
| 5. #19151911 | C2 | semidirect |
| 6. #19151895 | C2 | semidirect |
| 7. #19151655 | C2 | semidirect |
| 8. C2×#125×C89 | C2 | semidirect |
| 107. C89 | #3234 | semidirect |
| 109. C2×#125 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152148 | 2 |
| #19152008 | 2 |
| #19151964 | 2 |
| #19151916 | 2 |
| #19151911 | 2 |
| #19151895 | 2 |
| #19151655 | 2 |
| C2×#125×C89 | 2 |
| #3234 | 89 |