Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#15668011 | C2 | semidirect |
| 3. #19152006 | C2 | semidirect |
| 4. #19151959 | C2 | semidirect |
| 5. #19151931 | C2 | semidirect |
| 8. #19151881 | C2 | semidirect |
| 9. #19151877 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #484×C89 | C2 | semidirect |
| 129. C89 | #3239 | semidirect |
| 135. #484 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668011 | 2 |
| #19152134 | 2 |
| #19152006 | 2 |
| #19151959 | 2 |
| #19151931 | 2 |
| #19151917 | 2 |
| #19151916 | 2 |
| #19151881 | 2 |
| #19151877 | 2 |
| #19151652 | 2 |
| #484×C89 | 2 |
| #3239 | 89 |