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. #19151855 | C2 | semidirect |
| 5. #19151854 | C2 | semidirect |
| 6. #19151840 | C2 | semidirect |
| 7. #19151839 | C2 | semidirect |
| 8. #19151836 | C2 | semidirect |
| 9. #19151635 | C2 | semidirect |
| 10. #19151605 | C2 | semidirect |
| 11. #467×C89 | C2 | semidirect |
| 138. C89 | #3059 | semidirect |
| 147. #467 | 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×#15668018 | 2 |
| #19152171 | 2 |
| #19151855 | 2 |
| #19151854 | 2 |
| #19151840 | 2 |
| #19151839 | 2 |
| #19151836 | 2 |
| #19151635 | 2 |
| #19151605 | 2 |
| #467×C89 | 2 |
| #3059 | 89 |