Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
282 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19151736 | C2 | semidirect |
| 2. #19151518 | C2 | semidirect |
| 3. #19151332 | C2 | semidirect |
| 4. #19151324 | C2 | semidirect |
| 57. C2×C4×C89 | SD16 | semidirect |
| 89. C89 | #1604 | semidirect |
| 154. C2×C4 | #13083562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151736 | 2 |
| #19151518 | 2 |
| #19151332 | 2 |
| #19151324 | 2 |
| #537×C89 | 2 |
| #1604 | 89 |