Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
324 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 60. Q16×C89 | Q8 | semidirect |
| 103. C89 | #3383 | semidirect |
| 145. Q16 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152324 | 2 |
| #19152002 | 2 |
| #19152000 | 2 |
| #19151999 | 2 |
| #19151905 | 2 |
| #19151903 | 2 |
| #19151881 | 2 |
| C8×Dic178 | 2 |
| Q16×Dic89 | 2 |
| C4×Q16×C89 | 2 |
| #3383 | 89 |