Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 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 |
|---|---|---|
| 4. #19151906 | C2 | semidirect |
| 5. #19151809 | C2 | semidirect |
| 7. #19151706 | C2 | semidirect |
| 8. C4×Dic356 | C2 | semidirect |
| 96. C89 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152210 | 2 |
| #19152075 | 2 |
| #19151940 | 2 |
| #19151906 | 2 |
| #19151809 | 2 |
| #19151756 | 2 |
| #19151706 | 2 |
| C4×Dic356 | 2 |
| #433×C89 | 2 |
| #3127 | 89 |