Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
172 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 172 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19152001 | C2 | semidirect |
| 5. #19151350 | C2 | semidirect |
| 6. #19151343 | C2 | semidirect |
| 7. #332×C89 | C2 | semidirect |
| 61. #10623494 | SD16 | semidirect |
| 79. C89 | #1673 | semidirect |
| 86. #332 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152001 | 2 |
| #19151804 | 2 |
| #19151800 | 2 |
| #19151663 | 2 |
| #19151350 | 2 |
| #19151343 | 2 |
| #332×C89 | 2 |
| #1673 | 89 |