Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
338 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152323 | C2 | semidirect |
| 3. #19151998 | C2 | semidirect |
| 4. #19151908 | C2 | semidirect |
| 6. #19151890 | C2 | semidirect |
| 8. C8×Dic178 | C2 | semidirect |
| 11. #498×C89 | C2 | semidirect |
| 46. #13083563 | Q8 | semidirect |
| 115. C89 | #3381 | semidirect |
| 119. #498 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152323 | 2 |
| #19152309 | 2 |
| #19151998 | 2 |
| #19151908 | 2 |
| #19151897 | 2 |
| #19151890 | 2 |
| #19151875 | 2 |
| C8×Dic178 | 2 |
| C4×#13083563 | 2 |
| #19151685 | 2 |
| #498×C89 | 2 |
| #3381 | 89 |