Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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. #19151993 | C2 | semidirect |
| 4. #19151990 | C2 | semidirect |
| 5. #19151988 | C2 | semidirect |
| 6. #19151985 | C2 | semidirect |
| 7. C2×#15667923 | C2 | semidirect |
| 8. #532×C89 | C2 | semidirect |
| 40. C2×#10623494 | D4 | semidirect |
| 98. C89 | #3150 | semidirect |
| 101. #532 | D89 | 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 |
| #19151993 | 2 |
| #19151990 | 2 |
| #19151988 | 2 |
| #19151985 | 2 |
| C2×#15667923 | 2 |
| #532×C89 | 2 |
| #3150 | 89 |