Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19151885 | C2 | semidirect |
| 3. #19151883 | C2 | semidirect |
| 4. #19151829 | C2 | semidirect |
| 5. #19151800 | C2 | semidirect |
| 6. #19151798 | C2 | semidirect |
| 7. C2×C4⋊#10623494 | C2 | semidirect |
| 8. #533×C89 | C2 | semidirect |
| 74. C2×C4×C89 | SD16 | semidirect |
| 113. C89 | #3246 | semidirect |
| 114. #533 | D89 | semidirect |
| 195. C2×C4 | #13083561 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152148 | 2 |
| #19151885 | 2 |
| #19151883 | 2 |
| #19151829 | 2 |
| #19151800 | 2 |
| #19151798 | 2 |
| C2×C4⋊#10623494 | 2 |
| #533×C89 | 2 |
| #3246 | 89 |