Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
672 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 153 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. C2×#15667991 | C2 | semidirect |
| 3. #19151525 | C2 | semidirect |
| 4. #19151511 | C2 | semidirect |
| 5. #19151489 | C2 | semidirect |
| 6. #19151459 | C2 | semidirect |
| 8. C4×C22⋊C4×C89 | C2 | semidirect |
| 10. C22×Dic178 | C22 | semidirect |
| 13. C2×C4⋊Dic89 | C22 | semidirect |
| 14. C2×#13083553 | C22 | semidirect |
| 21. #15667919 | C22 | semidirect |
| 22. #15667919 | C22 | semidirect |
| 25. C2×C42×C89 | C22 | semidirect |
| 26. #95×C89 | C22 | semidirect |
| 111. C89 | #2561 | semidirect |
| 119. C4×C22⋊C4 | D89 | semidirect |
| 134. C2×C42 | C2×D89 | semidirect |
| 137. #95 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667991 | 2 |
| C22×#13083551 | 2 |
| #19151525 | 2 |
| #19151511 | 2 |
| #19151489 | 2 |
| #19151459 | 2 |
| #19151453 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2561 | 89 |