Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19152199 | C2 | semidirect |
| 2. #19151999 | C2 | semidirect |
| 3. #19151973 | C2 | semidirect |
| 4. #19151961 | C2 | semidirect |
| 5. #19151850 | C2 | semidirect |
| 6. #19151835 | C2 | semidirect |
| 7. #19151831 | C2 | semidirect |
| 8. #19151708 | C2 | semidirect |
| 9. C4×D712 | C2 | semidirect |
| 10. #19151552 | C2 | semidirect |
| 11. C4×D8×C89 | C2 | semidirect |
| 124. C89 | #3176 | semidirect |
| 134. C4×D8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152199 | 2 |
| #19151999 | 2 |
| #19151973 | 2 |
| #19151961 | 2 |
| #19151850 | 2 |
| #19151835 | 2 |
| #19151831 | 2 |
| #19151708 | 2 |
| C4×D712 | 2 |
| #19151552 | 2 |
| C4×D8×C89 | 2 |
| #3176 | 89 |