Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
310 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 51 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. #19152175 | C2 | semidirect |
| 2. #19151734 | C2 | semidirect |
| 3. #19151731 | C2 | semidirect |
| 4. #19151516 | C2 | semidirect |
| 5. #19151331 | C2 | semidirect |
| 6. #19151323 | C2 | semidirect |
| 7. #327×C89 | C2 | semidirect |
| 91. C2×Dic89 | D8 | semidirect |
| 135. C89 | #1598 | semidirect |
| 141. #327 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152175 | 2 |
| #19151734 | 2 |
| #19151731 | 2 |
| #19151516 | 2 |
| #19151331 | 2 |
| #19151323 | 2 |
| #327×C89 | 2 |
| #1598 | 89 |