Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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. #19152333 | C2 | semidirect |
| 2. #19152321 | C2 | semidirect |
| 3. #19151982 | C2 | semidirect |
| 4. #19151971 | C2 | semidirect |
| 5. #19151821 | C2 | semidirect |
| 6. #19151814 | C2 | semidirect |
| 7. #19151809 | C2 | semidirect |
| 9. C4×#13083563 | C2 | semidirect |
| 10. C4×#13083563 | C2 | semidirect |
| 11. C8×Q8×C89 | C2 | semidirect |
| 126. C89 | #3394 | semidirect |
| 135. C8×Q8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152333 | 2 |
| #19152321 | 2 |
| #19151982 | 2 |
| #19151971 | 2 |
| #19151821 | 2 |
| #19151814 | 2 |
| #19151809 | 2 |
| #19151794 | 2 |
| C4×#13083563 | 2 |
| C8×Q8×C89 | 2 |
| #3394 | 89 |