Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19152327 | C2 | semidirect |
| 3. #19152005 | C2 | semidirect |
| 4. #19152003 | C2 | semidirect |
| 6. #19151891 | C2 | semidirect |
| 7. #19151883 | C2 | semidirect |
| 9. #19151728 | C2 | semidirect |
| 64. SD16×C89 | Q8 | semidirect |
| 75. Q8×C89 | C2×Q8 | semidirect |
| 95. C8×C89 | C2×Q8 | semidirect |
| 117. C89 | #3386 | semidirect |
| 167. SD16 | Dic178 | semidirect |
| 196. Q8 | C2×Dic178 | semidirect |
| 213. C8 | C2×Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152327 | 2 |
| D4×Dic178 | 2 |
| #19152005 | 2 |
| #19152003 | 2 |
| #19151896 | 2 |
| #19151891 | 2 |
| #19151883 | 2 |
| #19151878 | 2 |
| #19151728 | 2 |
| #19151699 | 2 |
| C4×SD16×C89 | 2 |
| #3386 | 89 |