Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19152129 | C2 | semidirect |
| 2. #19151904 | C2 | semidirect |
| 3. #19151896 | C2 | semidirect |
| 4. #19151839 | C2 | semidirect |
| 5. #19151825 | C2 | semidirect |
| 6. #19151819 | C2 | semidirect |
| 7. #19151811 | C2 | semidirect |
| 8. C2×#15667941 | C2 | semidirect |
| 107. C89 | #3250 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152129 | 2 |
| #19151904 | 2 |
| #19151896 | 2 |
| #19151839 | 2 |
| #19151825 | 2 |
| #19151819 | 2 |
| #19151811 | 2 |
| C2×#15667941 | 2 |
| #466×C89 | 2 |
| #3250 | 89 |