Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
120 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 43 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. #19149677 | C2 | semidirect |
| 4. #19149608 | C2 | semidirect |
| 5. #19149604 | C2 | semidirect |
| 6. #19149603 | C2 | semidirect |
| 47. Dic173 | SD16 | semidirect |
| 52. C173 | #461 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583814 | 2 |
| #19149677 | 2 |
| D4×Dic173 | 2 |
| #19149608 | 2 |
| #19149604 | 2 |
| #19149603 | 2 |
| C2×SD16×C173 | 2 |
| #461 | 173 |