Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
240 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19152313 | C2 | semidirect |
| 2. #19151971 | C2 | semidirect |
| 3. #19151794 | C2 | semidirect |
| 4. #19151793 | C2 | semidirect |
| 5. #19151346 | C2 | semidirect |
| 6. #19151327 | C2 | semidirect |
| 7. D4⋊C8×C89 | C2 | semidirect |
| 102. C89 | #1624 | semidirect |
| 109. D4⋊C8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152313 | 2 |
| #19151971 | 2 |
| #19151794 | 2 |
| #19151793 | 2 |
| #19151346 | 2 |
| #19151327 | 2 |
| D4⋊C8×C89 | 2 |
| #1624 | 89 |