Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
166 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 166 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 |
|---|---|---|
| 4. #19151349 | C2 | semidirect |
| 5. #19151347 | C2 | semidirect |
| 6. #19151344 | C2 | semidirect |
| 7. #498×C89 | C2 | semidirect |
| 56. C8×C89 | SD16 | semidirect |
| 77. C89 | #1671 | semidirect |
| 78. #498 | D89 | semidirect |
| 136. C8 | #13083561 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151885 | 2 |
| #19151800 | 2 |
| C8×D356 | 2 |
| #19151349 | 2 |
| #19151347 | 2 |
| #19151344 | 2 |
| #498×C89 | 2 |
| #1671 | 89 |