Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
172 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 172 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. #19152003 | C2 | semidirect |
| 4. #19151345 | C2 | semidirect |
| 5. #335×C89 | C2 | semidirect |
| 45. C8×C89 | SD16 | semidirect |
| 63. C89 | #1673 | semidirect |
| 67. #335 | D89 | semidirect |
| 109. C8 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152003 | 2 |
| #19151804 | 2 |
| C8×D356 | 2 |
| #19151345 | 2 |
| #335×C89 | 2 |
| #1673 | 89 |