Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
402 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. C2×#15667935 | C2 | semidirect |
| 4. #19151504 | C2 | semidirect |
| 5. #19151360 | C2 | semidirect |
| 6. #19151353 | C2 | semidirect |
| 11. C2×#13083562 | C4 | semidirect |
| 31. C2×Dic178 | C2×C4 | semidirect |
| 40. C2×#10623494 | C2×C4 | semidirect |
| 83. C2×C4×C89 | SD16 | semidirect |
| 134. C89 | #1877 | semidirect |
| 227. C2×C4 | #13083562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083562 | 2 |
| C2×#15667935 | 2 |
| C2×#15667933 | 2 |
| #19151504 | 2 |
| #19151360 | 2 |
| #19151353 | 2 |
| C2×C4×D4×C89 | 2 |
| #1877 | 89 |