Finite Group DatabasebetaFinite Group DatabasebetaOrder 11072.
218 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 218 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19149674 | C2 | semidirect |
| 2. #19149669 | C2 | semidirect |
| 3. #19149664 | C2 | semidirect |
| 4. #19149662 | C2 | semidirect |
| 5. #19149658 | C2 | semidirect |
| 6. #19149657 | C2 | semidirect |
| 8. C4×C22⋊D173 | C2 | semidirect |
| 9. C2×C4⋊C4×C173 | C2 | semidirect |
| 66. C173 | #539 | semidirect |
| 76. C2×C4⋊C4 | D173 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149674 | 2 |
| #19149669 | 2 |
| #19149664 | 2 |
| #19149662 | 2 |
| #19149658 | 2 |
| #19149657 | 2 |
| #19149653 | 2 |
| C4×C22⋊D173 | 2 |
| C2×C4⋊C4×C173 | 2 |
| #539 | 173 |