Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
512 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 173 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 |
|---|---|---|
| 2. #19151493 | C2 | semidirect |
| 3. #19151492 | C2 | semidirect |
| 4. #19151486 | C2 | semidirect |
| 5. #19151482 | C2 | semidirect |
| 7. #19151470 | C2 | semidirect |
| 8. #19151456 | C2 | semidirect |
| 12. #15667993 | C4 | semidirect |
| 36. C22×Dic89 | C2×C4 | semidirect |
| 44. #13083553 | C2×C4 | semidirect |
| 48. C22⋊Dic89 | C2×C4 | semidirect |
| 127. C89 | #2376 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667993 | 2 |
| #19151493 | 2 |
| #19151492 | 2 |
| #19151486 | 2 |
| #19151482 | 2 |
| #19151478 | 2 |
| #19151470 | 2 |
| #19151456 | 2 |
| #390×C89 | 2 |
| #2376 | 89 |