Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
176 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19151722 | C2 | semidirect |
| 4. #19151350 | C2 | semidirect |
| 5. #19151330 | C2 | semidirect |
| 6. #19151320 | C2 | semidirect |
| 24. #13083562 | C8 | semidirect |
| 53. Dic178 | C2×C8 | semidirect |
| 60. #10623494 | C2×C8 | semidirect |
| 78. C89 | SD16⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151722 | 2 |
| C4×#13083562 | 2 |
| D4×#10623494 | 2 |
| #19151350 | 2 |
| #19151330 | 2 |
| #19151320 | 2 |
| D4⋊C8×C89 | 2 |
| SD16⋊C8 | 89 |