Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
238 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 238 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 |
|---|---|---|
| 54. C2×C4×C89 | Q16 | semidirect |
| 79. C89 | #1605 | semidirect |
| 137. C2×C4 | #13083564 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152229 | 2 |
| #19151754 | 2 |
| #19151334 | 2 |
| #19151324 | 2 |
| #395×C89 | 2 |
| #1605 | 89 |