Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
160 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 61 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. C4×Dic356 | C2 | semidirect |
| 4. #19151424 | C2 | semidirect |
| 5. #19151403 | C2 | semidirect |
| 7. #346×C89 | C2 | semidirect |
| 12. #15667957 | C4 | semidirect |
| 24. Dic356 | C2×C4 | semidirect |
| 36. C16×C89 | C2×C4 | semidirect |
| 68. C89 | #2175 | semidirect |
| 75. #346 | D89 | semidirect |
| 104. C16 | C4×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667957 | 2 |
| C4×Dic356 | 2 |
| C4×D712 | 2 |
| #19151424 | 2 |
| #19151403 | 2 |
| #19151400 | 2 |
| #346×C89 | 2 |
| #2175 | 89 |