Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
346 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152215 | C2 | semidirect |
| 2. #19151892 | C2 | semidirect |
| 3. #19151876 | C2 | semidirect |
| 4. #19151842 | C2 | semidirect |
| 5. #19151839 | C2 | semidirect |
| 6. #19151819 | C2 | semidirect |
| 7. #19151811 | C2 | semidirect |
| 8. #19151624 | C2 | semidirect |
| 106. C89 | #3262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152215 | 2 |
| #19151892 | 2 |
| #19151876 | 2 |
| #19151842 | 2 |
| #19151839 | 2 |
| #19151819 | 2 |
| #19151811 | 2 |
| #19151624 | 2 |
| #466×C89 | 2 |
| #3262 | 89 |