Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
128 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 41 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×#14583815 | C2 | semidirect |
| 2. C2×#14583814 | C2 | semidirect |
| 4. #19149644 | C2 | semidirect |
| 5. #19149608 | C2 | semidirect |
| 6. #19149599 | C2 | semidirect |
| 7. #102×C173 | C2 | semidirect |
| 23. Dic346 | D4 | semidirect |
| 50. Dic173 | SD16 | semidirect |
| 56. C173 | #460 | semidirect |
| 64. #102 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583815 | 2 |
| C2×#14583814 | 2 |
| #19149675 | 2 |
| #19149644 | 2 |
| #19149608 | 2 |
| #19149599 | 2 |
| #102×C173 | 2 |
| #460 | 173 |