Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
700 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#15668042 | C2 | semidirect |
| 2. C22×#13083564 | C2 | semidirect |
| 3. #19152169 | C2 | semidirect |
| 4. #19151760 | C2 | semidirect |
| 5. #19151754 | C2 | semidirect |
| 6. #19151607 | C2 | semidirect |
| 7. #19151594 | C2 | semidirect |
| 8. #19151565 | C2 | semidirect |
| 141. C89 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668042 | 2 |
| C22×#13083564 | 2 |
| #19152169 | 2 |
| #19151760 | 2 |
| #19151754 | 2 |
| #19151607 | 2 |
| #19151594 | 2 |
| #19151565 | 2 |
| C2×2−1+4×C89 | 2 |
| #3011 | 89 |