Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
452 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19152398 | C2 | semidirect |
| 2. C2×#15668034 | C2 | semidirect |
| 3. C2×#15668018 | C2 | semidirect |
| 4. #19151874 | C2 | semidirect |
| 5. #19151869 | C2 | semidirect |
| 6. #19151862 | C2 | semidirect |
| 7. #19151580 | C2 | semidirect |
| 8. C2×#108×C89 | C2 | semidirect |
| 20. C2×Dic356 | C22 | semidirect |
| 21. C2×#13083563 | C22 | semidirect |
| 22. C2×D712 | C22 | semidirect |
| 30. #15667930 | C22 | semidirect |
| 31. #15667928 | C22 | semidirect |
| 34. #108×C89 | C22 | semidirect |
| 35. #108×C89 | C22 | semidirect |
| 133. C89 | #3067 | semidirect |
| 140. C2×#108 | D89 | semidirect |
| 165. #108 | C2×D89 | semidirect |
| 166. #108 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152398 | 2 |
| C2×#15668034 | 2 |
| C2×#15668018 | 2 |
| #19151874 | 2 |
| #19151869 | 2 |
| #19151862 | 2 |
| #19151580 | 2 |
| C2×#108×C89 | 2 |
| #3067 | 89 |