Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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×#15668034 | C2 | semidirect |
| 2. C2×#15668032 | C2 | semidirect |
| 3. #19152144 | C2 | semidirect |
| 4. #19151983 | C2 | semidirect |
| 5. #19151981 | C2 | semidirect |
| 6. #19151979 | C2 | semidirect |
| 7. #19151976 | C2 | semidirect |
| 8. #19151973 | C2 | semidirect |
| 9. #19151969 | C2 | semidirect |
| 10. C2×C8×Dic89 | C2 | semidirect |
| 11. C2×#135×C89 | C2 | semidirect |
| 55. C2×#10623494 | D4 | semidirect |
| 74. C2×C8×C89 | D4 | semidirect |
| 119. Dic89 | #135 | semidirect |
| 126. C89 | #3147 | semidirect |
| 129. C2×#135 | D89 | semidirect |
| 194. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668034 | 2 |
| C2×#15668032 | 2 |
| #19152144 | 2 |
| #19151983 | 2 |
| #19151981 | 2 |
| #19151979 | 2 |
| #19151976 | 2 |
| #19151973 | 2 |
| #19151969 | 2 |
| C2×C8×Dic89 | 2 |
| C2×#135×C89 | 2 |
| #3147 | 89 |