Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152134 | C2 | semidirect |
| 2. #19151907 | C2 | semidirect |
| 3. #19151901 | C2 | semidirect |
| 5. #19151829 | C2 | semidirect |
| 6. #19151822 | C2 | semidirect |
| 7. #19151816 | C2 | semidirect |
| 8. C2×#15667941 | C2 | semidirect |
| 9. #467×C89 | C2 | semidirect |
| 107. C89 | #3250 | semidirect |
| 111. #467 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152134 | 2 |
| #19151907 | 2 |
| #19151901 | 2 |
| #19151834 | 2 |
| #19151829 | 2 |
| #19151822 | 2 |
| #19151816 | 2 |
| C2×#15667941 | 2 |
| #467×C89 | 2 |
| #3250 | 89 |