Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
114 conjugacy classes of subgroups; only the 31 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 31 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 |
|---|---|---|
| 2. #19151355 | C2 | semidirect |
| 3. #349×C89 | C2 | semidirect |
| 4. C2×D712 | C4 | semidirect |
| 7. #15667944 | C4 | semidirect |
| 53. C89 | #1339 | semidirect |
| 55. #349 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151851 | 2 |
| #19151355 | 2 |
| #349×C89 | 2 |
| #1339 | 89 |