Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
290 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 290 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. #19151597 | C2 | semidirect |
| 4. #19151367 | C2 | semidirect |
| 5. #382×C89 | C2 | semidirect |
| 39. C42×C89 | D4 | semidirect |
| 85. C89 | #2040 | semidirect |
| 89. #382 | D89 | semidirect |
| 124. C42 | D356 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152179 | 2 |
| C2×#15667940 | 2 |
| #19151597 | 2 |
| #19151367 | 2 |
| #382×C89 | 2 |
| #2040 | 89 |