Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
122 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19151418 | C2 | semidirect |
| 4. #19151376 | C2 | semidirect |
| 5. #347×C89 | C2 | semidirect |
| 51. C89 | #2166 | semidirect |
| 56. #347 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151555 | 2 |
| #19151418 | 2 |
| #19151379 | 2 |
| #19151376 | 2 |
| #347×C89 | 2 |
| #2166 | 89 |