Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19152151 | C2 | semidirect |
| 5. #19151359 | C2 | semidirect |
| 6. #19151355 | C2 | semidirect |
| 7. #344×C89 | C2 | semidirect |
| 28. C2×Dic178 | Q8 | semidirect |
| 29. C2×D356 | Q8 | semidirect |
| 103. C89 | #2031 | semidirect |
| 108. #344 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| #19151614 | 2 |
| C2×#15667938 | 2 |
| #19151571 | 2 |
| #19151359 | 2 |
| #19151355 | 2 |
| #344×C89 | 2 |
| #2031 | 89 |