Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
316 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 51 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. #19152223 | C2 | semidirect |
| 2. #19151751 | C2 | semidirect |
| 3. #19151748 | C2 | semidirect |
| 5. #19151334 | C2 | semidirect |
| 6. #19151321 | C2 | semidirect |
| 7. #328×C89 | C2 | semidirect |
| 30. C2×Dic178 | D4 | semidirect |
| 44. C4⋊Dic89 | D4 | semidirect |
| 54. C2×Q8×C89 | D4 | semidirect |
| 59. C4⋊C4×C89 | D4 | semidirect |
| 73. C22×D89 | SD16 | semidirect |
| 131. C89 | #1596 | semidirect |
| 137. #328 | D89 | semidirect |
| 162. C2×Q8 | D356 | semidirect |
| 184. C4⋊C4 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152223 | 2 |
| #19151751 | 2 |
| #19151748 | 2 |
| #19151508 | 2 |
| #19151334 | 2 |
| #19151321 | 2 |
| #328×C89 | 2 |
| #1596 | 89 |