Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #19151426 | C2 | semidirect |
| 5. #19151425 | C2 | semidirect |
| 6. #19151423 | C2 | semidirect |
| 7. #366×C89 | C2 | semidirect |
| 11. #15667951 | C4 | semidirect |
| 30. #13083549 | C2×C4 | semidirect |
| 34. C16×C89 | C2×C4 | semidirect |
| 64. C89 | #2159 | semidirect |
| 71. #366 | D89 | semidirect |
| 98. C16 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667951 | 2 |
| #19151635 | 2 |
| #107×D89 | 2 |
| #19151426 | 2 |
| #19151425 | 2 |
| #19151423 | 2 |
| #366×C89 | 2 |
| #2159 | 89 |