Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
412 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 113 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×#15667971 | C2 | semidirect |
| 2. C2×#15667933 | C2 | semidirect |
| 3. C2×C22⋊#10623494 | C2 | semidirect |
| 4. #19151360 | C2 | semidirect |
| 17. #121×C89 | C4 | semidirect |
| 25. C4⋊Dic89 | D4 | semidirect |
| 103. C89 | #1875 | semidirect |
| 114. #121 | Dic89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667971 | 2 |
| C2×#15667933 | 2 |
| C2×C22⋊#10623494 | 2 |
| #19151360 | 2 |
| C2×#121×C89 | 2 |
| #1875 | 89 |