Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
306 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 69 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×#15667940 | C2 | semidirect |
| 3. #19151600 | C2 | semidirect |
| 4. #19151599 | C2 | semidirect |
| 5. #19151468 | C2 | semidirect |
| 6. #19151366 | C2 | semidirect |
| 7. C2×#104×C89 | C2 | semidirect |
| 63. C42×C89 | D4 | semidirect |
| 129. C89 | #2039 | semidirect |
| 132. C2×#104 | D89 | semidirect |
| 192. C42 | C22⋊D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152176 | 2 |
| C2×#15667940 | 2 |
| #19151600 | 2 |
| #19151599 | 2 |
| #19151468 | 2 |
| #19151366 | 2 |
| C2×#104×C89 | 2 |
| #2039 | 89 |