Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
520 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 153 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×C4×Dic178 | C2 | semidirect |
| 3. #19151525 | C2 | semidirect |
| 4. #19151511 | C2 | semidirect |
| 5. #19151503 | C2 | semidirect |
| 7. #19151489 | C2 | semidirect |
| 8. C4×C4⋊C4×C89 | C2 | semidirect |
| 102. C89 | #2592 | semidirect |
| 110. C4×C4⋊C4 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668000 | 2 |
| C2×C4×Dic178 | 2 |
| #19151525 | 2 |
| #19151511 | 2 |
| #19151503 | 2 |
| #19151499 | 2 |
| #19151489 | 2 |
| C4×C4⋊C4×C89 | 2 |
| #2592 | 89 |