Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152318 | C2 | semidirect |
| 3. #19151949 | C2 | semidirect |
| 4. #19151940 | C2 | semidirect |
| 5. #19151879 | C2 | semidirect |
| 6. #19151839 | C2 | semidirect |
| 7. #19151809 | C2 | semidirect |
| 8. #19151762 | C2 | semidirect |
| 9. C4×#13083563 | C2 | semidirect |
| 10. #19151595 | C2 | semidirect |
| 11. C8×D4×C89 | C2 | semidirect |
| 126. C89 | #3302 | semidirect |
| 136. C8×D4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152318 | 2 |
| #19152253 | 2 |
| #19151949 | 2 |
| #19151940 | 2 |
| #19151879 | 2 |
| #19151839 | 2 |
| #19151809 | 2 |
| #19151762 | 2 |
| C4×#13083563 | 2 |
| #19151595 | 2 |
| C8×D4×C89 | 2 |
| #3302 | 89 |