Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #19151556 | C2 | semidirect |
| 5. #19151554 | C2 | semidirect |
| 6. #19151369 | C2 | semidirect |
| 7. #344×C89 | C2 | semidirect |
| 14. C2×#13083557 | C4 | semidirect |
| 16. C2×C8×D89 | C4 | semidirect |
| 18. #15667930 | C4 | semidirect |
| 19. #15667928 | C4 | semidirect |
| 107. C89 | #1757 | semidirect |
| 114. #344 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668020 | 2 |
| #19151580 | 2 |
| #19151571 | 2 |
| #19151556 | 2 |
| #19151554 | 2 |
| #19151369 | 2 |
| #344×C89 | 2 |
| #1757 | 89 |