Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152326 | C2 | semidirect |
| 3. #19151949 | C2 | semidirect |
| 4. #19151947 | C2 | semidirect |
| 5. #19151883 | C2 | semidirect |
| 6. #19151882 | C2 | semidirect |
| 9. C8×Dic178 | C2 | semidirect |
| 95. Dic178 | SD16 | semidirect |
| 119. C89 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152326 | 2 |
| D4×Dic178 | 2 |
| #19151949 | 2 |
| #19151947 | 2 |
| #19151883 | 2 |
| #19151882 | 2 |
| #19151803 | 2 |
| #19151801 | 2 |
| C8×Dic178 | 2 |
| #19151689 | 2 |
| C4×SD16×C89 | 2 |
| #3359 | 89 |