Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
320 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 53. Q16×C89 | Q8 | semidirect |
| 91. C89 | #3390 | semidirect |
| 129. Q16 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152324 | 2 |
| #19152006 | 2 |
| #19152000 | 2 |
| #19151907 | 2 |
| #19151905 | 2 |
| #19151891 | 2 |
| #19151728 | 2 |
| #19151705 | 2 |
| C4×Q16×C89 | 2 |
| #3390 | 89 |