Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
188 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 188 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 |
|---|---|---|
| 2. C2×#14583815 | C2 | semidirect |
| 3. C2×#14583814 | C2 | semidirect |
| 4. #19149659 | C2 | semidirect |
| 5. #19149599 | C2 | semidirect |
| 6. #19149591 | C2 | semidirect |
| 7. #102×C173 | C2 | semidirect |
| 9. C2×Dic346 | C22 | semidirect |
| 17. C2×#13063436 | C22 | semidirect |
| 21. C2×C8×C173 | C22 | semidirect |
| 22. C4⋊C4×C173 | C22 | semidirect |
| 54. C2×D173 | SD16 | semidirect |
| 66. C173 | #450 | semidirect |
| 73. #102 | D173 | semidirect |
| 86. C2×C8 | C2×D173 | semidirect |
| 88. C4⋊C4 | C2×D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×D173 | 2 |
| C2×#14583815 | 2 |
| C2×#14583814 | 2 |
| #19149659 | 2 |
| #19149599 | 2 |
| #19149591 | 2 |
| #102×C173 | 2 |
| #450 | 173 |