Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
498 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 498 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 |
|---|---|---|
| 2. C2×#15667991 | C2 | semidirect |
| 3. #19151538 | C2 | semidirect |
| 4. #19151535 | C2 | semidirect |
| 5. #19151523 | C2 | semidirect |
| 6. #19151519 | C2 | semidirect |
| 8. #19151511 | C2 | semidirect |
| 9. #19151496 | C2 | semidirect |
| 10. #19151489 | C2 | semidirect |
| 11. C4×C22⋊C4×C89 | C2 | semidirect |
| 137. C89 | #2663 | semidirect |
| 148. C4×C22⋊C4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667995 | 2 |
| C2×#15667991 | 2 |
| #19151538 | 2 |
| #19151535 | 2 |
| #19151523 | 2 |
| #19151519 | 2 |
| #19151514 | 2 |
| #19151511 | 2 |
| #19151496 | 2 |
| #19151489 | 2 |
| C4×C22⋊C4×C89 | 2 |
| #2663 | 89 |