Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 4. #19151894 | C2 | semidirect |
| 5. #19151809 | C2 | semidirect |
| 7. C4×Dic356 | C2 | semidirect |
| 66. C2×C4×C89 | Q16 | semidirect |
| 104. C89 | #3104 | semidirect |
| 181. C2×C4 | Dic356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| C2×C4×Dic178 | 2 |
| #19151934 | 2 |
| #19151894 | 2 |
| #19151809 | 2 |
| #19151756 | 2 |
| C4×Dic356 | 2 |
| #431×C89 | 2 |
| #3104 | 89 |