Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
434 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152149 | C2 | semidirect |
| 2. C4×#13083573 | C2 | semidirect |
| 3. #19151924 | C2 | semidirect |
| 4. #19151890 | C2 | semidirect |
| 5. #19151799 | C2 | semidirect |
| 6. #19151793 | C2 | semidirect |
| 7. #19151744 | C2 | semidirect |
| 8. #19151685 | C2 | semidirect |
| 9. #19151678 | C2 | semidirect |
| 10. #19151650 | C2 | semidirect |
| 11. #476×C89 | C2 | semidirect |
| 88. D4×C89 | #41 | semidirect |
| 114. Dic178 | #41 | semidirect |
| 145. C89 | #3106 | semidirect |
| 150. #476 | D89 | semidirect |
| 241. D4 | #13083575 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| C4×#13083573 | 2 |
| #19151924 | 2 |
| #19151890 | 2 |
| #19151799 | 2 |
| #19151793 | 2 |
| #19151744 | 2 |
| #19151685 | 2 |
| #19151678 | 2 |
| #19151650 | 2 |
| #476×C89 | 2 |
| #3106 | 89 |