Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
228 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 65 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×#15667947 | C2 | semidirect |
| 2. #19151638 | C2 | semidirect |
| 3. #19151626 | C2 | semidirect |
| 7. #343×C89 | C2 | semidirect |
| 98. C89 | #2063 | semidirect |
| 105. #343 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667947 | 2 |
| #19151638 | 2 |
| #19151626 | 2 |
| #19151604 | 2 |
| C2×#15667932 | 2 |
| C2×#15667928 | 2 |
| #343×C89 | 2 |
| #2063 | 89 |