Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#15668018 | C2 | semidirect |
| 2. #19152176 | C2 | semidirect |
| 3. #19151841 | C2 | semidirect |
| 4. #19151836 | C2 | semidirect |
| 5. #19151831 | C2 | semidirect |
| 6. C2×#15667946 | C2 | semidirect |
| 7. #19151599 | C2 | semidirect |
| 8. C2×#135×C89 | C2 | semidirect |
| 57. C2×C8×C89 | D4 | semidirect |
| 109. C89 | #3061 | semidirect |
| 110. C2×#135 | D89 | semidirect |
| 161. C2×C8 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668018 | 2 |
| #19152176 | 2 |
| #19151841 | 2 |
| #19151836 | 2 |
| #19151831 | 2 |
| C2×#15667946 | 2 |
| #19151599 | 2 |
| C2×#135×C89 | 2 |
| #3061 | 89 |