Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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×#15667941 | C2 | semidirect |
| 2. C2×#15667933 | C2 | semidirect |
| 3. #19151501 | C2 | semidirect |
| 4. #19151361 | C2 | semidirect |
| 62. C2×Dic89 | D8 | semidirect |
| 90. C89 | #2054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667941 | 2 |
| C2×#15667933 | 2 |
| #19151501 | 2 |
| #19151361 | 2 |
| C22×D8×C89 | 2 |
| #2054 | 89 |