Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
256 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 17. #15667941 | C4 | semidirect |
| 91. Dic89 | #106 | semidirect |
| 100. C89 | #1948 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667944 | 2 |
| C2×#15667943 | 2 |
| C2×#15667941 | 2 |
| #19151467 | 2 |
| C4⋊C4×Dic89 | 2 |
| #19151360 | 2 |
| #340×C89 | 2 |
| #1948 | 89 |