Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
222 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 75 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. #19151625 | C2 | semidirect |
| 5. C2×#15667923 | C2 | semidirect |
| 6. #19151362 | C2 | semidirect |
| 7. #339×C89 | C2 | semidirect |
| 14. #15667935 | C4 | semidirect |
| 15. #15667932 | C4 | semidirect |
| 91. C89 | #1938 | semidirect |
| 98. #339 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151625 | 2 |
| C2×#15667940 | 2 |
| #19151592 | 2 |
| #19151566 | 2 |
| C2×#15667923 | 2 |
| #19151362 | 2 |
| #339×C89 | 2 |
| #1938 | 89 |