Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
222 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19151626 | C2 | semidirect |
| 5. C2×#15667922 | C2 | semidirect |
| 6. #19151359 | C2 | semidirect |
| 7. #341×C89 | C2 | semidirect |
| 14. #15667937 | C4 | semidirect |
| 15. #15667934 | C4 | semidirect |
| 91. C89 | #1938 | semidirect |
| 97. #341 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151626 | 2 |
| C2×#15667938 | 2 |
| #19151595 | 2 |
| #19151566 | 2 |
| C2×#15667922 | 2 |
| #19151359 | 2 |
| #341×C89 | 2 |
| #1938 | 89 |