Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 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 |
|---|---|---|
| 3. #19151968 | C2 | semidirect |
| 4. #19151967 | C2 | semidirect |
| 5. #19151966 | C2 | semidirect |
| 6. #19151947 | C2 | semidirect |
| 9. #491×C89 | C2 | semidirect |
| 88. C89 | #3139 | semidirect |
| 94. #491 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152154 | 2 |
| C4⋊Q8×D89 | 2 |
| #19151968 | 2 |
| #19151967 | 2 |
| #19151966 | 2 |
| #19151947 | 2 |
| #19151605 | 2 |
| #19151550 | 2 |
| #491×C89 | 2 |
| #3139 | 89 |