Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
204 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 204 conjugacy classes of subgroups — too many to draw. Only its 59 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. #19151647 | C2 | semidirect |
| 5. #19151369 | C2 | semidirect |
| 6. #19151354 | C2 | semidirect |
| 7. #344×C89 | C2 | semidirect |
| 86. C89 | #2081 | semidirect |
| 92. #344 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151647 | 2 |
| #19151604 | 2 |
| #19151602 | 2 |
| C2×#15667928 | 2 |
| #19151369 | 2 |
| #19151354 | 2 |
| #344×C89 | 2 |
| #2081 | 89 |