Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152155 | C2 | semidirect |
| 3. #19151940 | C2 | semidirect |
| 4. #19151894 | C2 | semidirect |
| 5. #19151889 | C2 | semidirect |
| 6. #19151809 | C2 | semidirect |
| 7. #19151804 | C2 | semidirect |
| 9. #19151706 | C2 | semidirect |
| 10. #19151700 | C2 | semidirect |
| 11. #432×C89 | C2 | semidirect |
| 137. C89 | #3116 | semidirect |
| 148. #432 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| C4×#13083574 | 2 |
| #19151940 | 2 |
| #19151894 | 2 |
| #19151889 | 2 |
| #19151809 | 2 |
| #19151804 | 2 |
| #19151762 | 2 |
| #19151706 | 2 |
| #19151700 | 2 |
| #432×C89 | 2 |
| #3116 | 89 |