Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
114 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 114 conjugacy classes of subgroups — too many to draw. Only its 39 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. C4⋊C4×D173 | C2 | semidirect |
| 3. #19149612 | C2 | semidirect |
| 4. #19149601 | C2 | semidirect |
| 5. #19149599 | C2 | semidirect |
| 6. #19149591 | C2 | semidirect |
| 7. #107×C173 | C2 | semidirect |
| 52. C173 | #480 | semidirect |
| 57. #107 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149654 | 2 |
| C4⋊C4×D173 | 2 |
| #19149612 | 2 |
| #19149601 | 2 |
| #19149599 | 2 |
| #19149591 | 2 |
| #107×C173 | 2 |
| #480 | 173 |