Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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. Q8×Dic178 | C2 | semidirect |
| 2. #19151957 | C2 | semidirect |
| 4. #19151893 | C2 | semidirect |
| 5. #19151878 | C2 | semidirect |
| 6. #19151817 | C2 | semidirect |
| 8. #19151729 | C2 | semidirect |
| 9. #19151698 | C2 | semidirect |
| 10. C4×#13083564 | C2 | semidirect |
| 119. C89 | #3375 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic178 | 2 |
| #19151957 | 2 |
| #19151944 | 2 |
| #19151893 | 2 |
| #19151878 | 2 |
| #19151817 | 2 |
| #19151795 | 2 |
| #19151729 | 2 |
| #19151698 | 2 |
| C4×#13083564 | 2 |
| #559×C89 | 2 |
| #3375 | 89 |