Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
460 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 127 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×Q16×D89 | C2 | semidirect |
| 4. #19151857 | C2 | semidirect |
| 5. #19151856 | C2 | semidirect |
| 6. #19151853 | C2 | semidirect |
| 7. #19151838 | C2 | semidirect |
| 8. #19151837 | C2 | semidirect |
| 9. #19151633 | C2 | semidirect |
| 10. #19151605 | C2 | semidirect |
| 11. #470×C89 | C2 | semidirect |
| 134. C89 | #3059 | semidirect |
| 141. #470 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×D89 | 2 |
| C2×#15668020 | 2 |
| #19152171 | 2 |
| #19151857 | 2 |
| #19151856 | 2 |
| #19151853 | 2 |
| #19151838 | 2 |
| #19151837 | 2 |
| #19151633 | 2 |
| #19151605 | 2 |
| #470×C89 | 2 |
| #3059 | 89 |