Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
144 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 45 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. #19152014 | C2 | semidirect |
| 2. #19151870 | C2 | semidirect |
| 4. #19151428 | C2 | semidirect |
| 5. #19151414 | C2 | semidirect |
| 6. #19151411 | C2 | semidirect |
| 7. C2×SD32×C89 | C2 | semidirect |
| 72. C89 | #2223 | semidirect |
| 73. C2×SD32 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152014 | 2 |
| #19151870 | 2 |
| #19151865 | 2 |
| #19151428 | 2 |
| #19151414 | 2 |
| #19151411 | 2 |
| C2×SD32×C89 | 2 |
| #2223 | 89 |