Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 4. #19151554 | C2 | semidirect |
| 5. #19151367 | C2 | semidirect |
| 6. #19151362 | C2 | semidirect |
| 7. #428×C89 | C2 | semidirect |
| 16. #15667928 | C4 | semidirect |
| 101. C89 | #1931 | semidirect |
| 102. #428 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151602 | 2 |
| C2×#15667932 | 2 |
| C2×#15667928 | 2 |
| #19151554 | 2 |
| #19151367 | 2 |
| #19151362 | 2 |
| #428×C89 | 2 |
| #1931 | 89 |