Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
300 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #19151554 | C2 | semidirect |
| 5. C2×C4×#10623494 | C2 | semidirect |
| 6. #19151362 | C2 | semidirect |
| 7. #339×C89 | C2 | semidirect |
| 10. #15668020 | C4 | semidirect |
| 16. #15667940 | C4 | semidirect |
| 17. #15667935 | C4 | semidirect |
| 18. #15667932 | C4 | semidirect |
| 99. C89 | #1764 | semidirect |
| 106. #339 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668020 | 2 |
| C2×#15667940 | 2 |
| #19151592 | 2 |
| #19151554 | 2 |
| C2×C4×#10623494 | 2 |
| #19151362 | 2 |
| #339×C89 | 2 |
| #1764 | 89 |