Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
480 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#15668011 | C2 | semidirect |
| 3. #19151876 | C2 | direct (N × H) |
| 4. C2×#15667946 | C2 | semidirect |
| 5. C2×#15667945 | C2 | semidirect |
| 6. C2×#15667941 | C2 | semidirect |
| 13. #15668011 | C22 | semidirect |
| 21. #15667946 | C22 | semidirect |
| 22. #15667945 | C22 | semidirect |
| 23. #15667941 | C22 | semidirect |
| 50. C2×D4×C89 | Q8 | semidirect |
| 65. D4×C89 | C2×Q8 | semidirect |
| 101. C2×C89 | #474 | semidirect |
| 106. C89 | C2×#474 | semidirect |
| 140. C2×D4 | Dic178 | semidirect |
| 172. D4 | C2×Dic178 | semidirect |
| 207. C2 | #19151876 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668011 | 2 |
| C2×D4×Dic89 | 2 |
| #19151876 | 2 |
| C2×#15667946 | 2 |
| C2×#15667945 | 2 |
| C2×#15667941 | 2 |
| C2×#15667933 | 2 |
| C2×#102×C89 | 2 |
| C2×#474 | 89 |