Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
582 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 145 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×#15668006 | C2 | semidirect |
| 2. #19151529 | C2 | semidirect |
| 3. #19151524 | C2 | semidirect |
| 4. #19151512 | C2 | semidirect |
| 6. #19151498 | C2 | semidirect |
| 7. #19151492 | C2 | semidirect |
| 8. #19151477 | C2 | semidirect |
| 9. #19151471 | C2 | semidirect |
| 10. #19151444 | C2 | semidirect |
| 11. C2×C4×D4×C89 | C2 | semidirect |
| 70. C42×C89 | D4 | semidirect |
| 144. C89 | #2603 | semidirect |
| 146. C2×C4×D4 | D89 | semidirect |
| 214. C42 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668006 | 2 |
| #19151529 | 2 |
| #19151524 | 2 |
| #19151512 | 2 |
| #19151506 | 2 |
| #19151498 | 2 |
| #19151492 | 2 |
| #19151477 | 2 |
| #19151471 | 2 |
| #19151444 | 2 |
| C2×C4×D4×C89 | 2 |
| #2603 | 89 |