Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 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 |
|---|---|---|
| 1. C2×#14583815 | C2 | semidirect |
| 2. C2×#14583814 | C2 | semidirect |
| 3. C2×#14583811 | C2 | semidirect |
| 4. #19149675 | C2 | semidirect |
| 5. #19149666 | C2 | semidirect |
| 6. #19149589 | C2 | semidirect |
| 7. C2×D8×C173 | C2 | semidirect |
| 29. #13063436 | D4 | semidirect |
| 37. C8×C173 | D4 | semidirect |
| 54. C173 | #496 | semidirect |
| 59. C2×D8 | D173 | semidirect |
| 92. C8 | C22⋊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 |
| C2×#14583811 | 2 |
| #19149675 | 2 |
| #19149666 | 2 |
| #19149589 | 2 |
| C2×D8×C173 | 2 |
| #496 | 173 |