Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
572 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×#15668032 | C2 | semidirect |
| 2. #19152148 | C2 | semidirect |
| 3. #19151980 | C2 | semidirect |
| 4. #19151977 | C2 | semidirect |
| 5. #19151974 | C2 | semidirect |
| 6. #19151972 | C2 | semidirect |
| 7. #19151970 | C2 | semidirect |
| 8. C2×C4×#10623494 | C2 | semidirect |
| 9. #532×C89 | C2 | semidirect |
| 42. C2×#10623494 | D4 | semidirect |
| 93. C4×C89 | #135 | semidirect |
| 102. C89 | #3147 | semidirect |
| 105. #532 | D89 | semidirect |
| 196. C4 | #15668032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668032 | 2 |
| #19152148 | 2 |
| #19151980 | 2 |
| #19151977 | 2 |
| #19151974 | 2 |
| #19151972 | 2 |
| #19151970 | 2 |
| C2×C4×#10623494 | 2 |
| #532×C89 | 2 |
| #3147 | 89 |