Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 1. C2×#14583814 | C2 | semidirect |
| 2. C22×#13063436 | C2 | semidirect |
| 3. #19149658 | C2 | semidirect |
| 4. #19149610 | C2 | semidirect |
| 5. #19149602 | C2 | semidirect |
| 6. #19149600 | C2 | semidirect |
| 26. #13063436 | D4 | semidirect |
| 42. C22×C173 | SD16 | semidirect |
| 55. C173 | #465 | semidirect |
| 98. C22 | #14583814 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583814 | 2 |
| C22×#13063436 | 2 |
| #19149658 | 2 |
| #19149610 | 2 |
| #19149602 | 2 |
| #19149600 | 2 |
| #121×C173 | 2 |
| #465 | 173 |