Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
278 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19152270 | C2 | semidirect |
| 2. #19151975 | C2 | semidirect |
| 3. #19151798 | C2 | semidirect |
| 4. #19151794 | C2 | semidirect |
| 5. #19151341 | C2 | semidirect |
| 6. #19151327 | C2 | semidirect |
| 7. Q8⋊C8×C89 | C2 | semidirect |
| 56. Q8×C89 | D8 | semidirect |
| 108. C89 | #1621 | semidirect |
| 114. Q8⋊C8 | D89 | semidirect |
| 164. Q8 | D712 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152270 | 2 |
| #19151975 | 2 |
| #19151798 | 2 |
| #19151794 | 2 |
| #19151341 | 2 |
| #19151327 | 2 |
| Q8⋊C8×C89 | 2 |
| #1621 | 89 |