Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
368 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 149 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. #19152003 | C2 | semidirect |
| 3. #19151978 | C2 | semidirect |
| 4. #19151949 | C2 | semidirect |
| 6. C4×Dic356 | C2 | semidirect |
| 48. C2×C4×C89 | Q16 | semidirect |
| 78. C89 | #3170 | semidirect |
| 130. C2×C4 | Dic356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19152003 | 2 |
| #19151978 | 2 |
| #19151949 | 2 |
| #19151839 | 2 |
| C4×Dic356 | 2 |
| C2×C4×C8×C89 | 2 |
| #3170 | 89 |