Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
544 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#15668010 | C2 | semidirect |
| 4. #19151801 | C2 | direct (N × H) |
| 5. C2×#15667941 | C2 | semidirect |
| 6. C2×#15667937 | C2 | semidirect |
| 7. C2×#15667936 | C2 | semidirect |
| 15. #15668010 | C22 | semidirect |
| 23. #15667941 | C22 | semidirect |
| 24. #15667937 | C22 | semidirect |
| 25. #15667936 | C22 | semidirect |
| 88. C2×Dic89 | SD16 | semidirect |
| 111. Dic89 | C2×SD16 | semidirect |
| 113. C2×C89 | #461 | semidirect |
| 118. C89 | C2×#461 | semidirect |
| 231. C2 | #19151801 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083562 | 2 |
| C2×#15668010 | 2 |
| C2×D4×Dic89 | 2 |
| #19151801 | 2 |
| C2×#15667941 | 2 |
| C2×#15667937 | 2 |
| C2×#15667936 | 2 |
| C22×SD16×C89 | 2 |
| C2×#461 | 89 |