Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 2. #19151999 | C2 | semidirect |
| 3. #19151976 | C2 | semidirect |
| 4. #19151965 | C2 | semidirect |
| 8. #19151703 | C2 | semidirect |
| 9. C4×Dic356 | C2 | semidirect |
| 11. C4×Q16×C89 | C2 | semidirect |
| 112. C89 | #3177 | semidirect |
| 122. C4×Q16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152206 | 2 |
| #19151999 | 2 |
| #19151976 | 2 |
| #19151965 | 2 |
| #19151855 | 2 |
| #19151840 | 2 |
| #19151836 | 2 |
| #19151703 | 2 |
| C4×Dic356 | 2 |
| #19151552 | 2 |
| C4×Q16×C89 | 2 |
| #3177 | 89 |