Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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×#15668012 | C2 | semidirect |
| 2. #19151957 | C2 | semidirect |
| 3. #19151948 | C2 | semidirect |
| 4. #19151944 | C2 | semidirect |
| 5. #19151599 | C2 | semidirect |
| 6. C4×#13083558 | C2 | semidirect |
| 101. C89 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668012 | 2 |
| #19151957 | 2 |
| #19151948 | 2 |
| #19151944 | 2 |
| #19151599 | 2 |
| C4×#13083558 | 2 |
| #532×C89 | 2 |
| #3141 | 89 |