Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 3. #19151907 | C2 | semidirect |
| 4. #19151903 | C2 | semidirect |
| 5. #19151891 | C2 | semidirect |
| 6. #19151881 | C2 | semidirect |
| 72. C2×Q8×C89 | Q8 | semidirect |
| 130. C89 | #3078 | semidirect |
| 177. C2×Q8 | Dic178 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| C2×Q8×Dic89 | 2 |
| #19151907 | 2 |
| #19151903 | 2 |
| #19151891 | 2 |
| #19151881 | 2 |
| #19151641 | 2 |
| #19151640 | 2 |
| #19151621 | 2 |
| #19151607 | 2 |
| #419×C89 | 2 |
| #3078 | 89 |