Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 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×#15668060 | C2 | semidirect |
| 2. #19152398 | C2 | semidirect |
| 3. #19152172 | C2 | semidirect |
| 4. #19151783 | C2 | semidirect |
| 5. #19151773 | C2 | semidirect |
| 6. #19151614 | C2 | semidirect |
| 7. C2×#101×C89 | C2 | semidirect |
| 17. #15668045 | C22 | semidirect |
| 19. #15668040 | C22 | semidirect |
| 21. #15668010 | C22 | semidirect |
| 22. #15668001 | C22 | semidirect |
| 26. #15667938 | C22 | semidirect |
| 29. #101×C89 | C22 | semidirect |
| 124. C89 | #3020 | semidirect |
| 131. C2×#101 | D89 | semidirect |
| 153. #101 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668060 | 2 |
| #19152398 | 2 |
| #19152172 | 2 |
| #19151783 | 2 |
| #19151773 | 2 |
| #19151614 | 2 |
| C2×#101×C89 | 2 |
| #3020 | 89 |