Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 141 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×#15668018 | C2 | semidirect |
| 2. #19152165 | C2 | semidirect |
| 3. #19151848 | C2 | semidirect |
| 4. #19151831 | C2 | semidirect |
| 5. #19151636 | C2 | semidirect |
| 6. #19151603 | C2 | semidirect |
| 7. C22×D8×C89 | C2 | semidirect |
| 11. C2×#13083557 | C22 | semidirect |
| 12. C2×C8×D89 | C22 | semidirect |
| 15. #15667983 | C22 | semidirect |
| 18. #15667946 | C22 | semidirect |
| 19. #15667944 | C22 | semidirect |
| 20. #15667933 | C22 | semidirect |
| 49. C2×C8×C89 | D4 | semidirect |
| 94. C89 | #3058 | semidirect |
| 95. C22×D8 | D89 | semidirect |
| 139. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668018 | 2 |
| #19152165 | 2 |
| #19151848 | 2 |
| #19151831 | 2 |
| #19151636 | 2 |
| #19151603 | 2 |
| C22×D8×C89 | 2 |
| #3058 | 89 |