Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
368 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 85 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×#15667943 | C2 | semidirect |
| 3. C2×#15667933 | C2 | semidirect |
| 4. C2×#15667924 | C2 | semidirect |
| 5. #19151455 | C2 | semidirect |
| 6. #19151361 | C2 | semidirect |
| 7. C2×#102×C89 | C2 | semidirect |
| 40. C2×#10623494 | D4 | semidirect |
| 144. C89 | #2034 | semidirect |
| 148. C2×#102 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667983 | 2 |
| C2×#15667943 | 2 |
| C2×#15667933 | 2 |
| C2×#15667924 | 2 |
| #19151455 | 2 |
| #19151361 | 2 |
| C2×#102×C89 | 2 |
| #2034 | 89 |