Finite Group DatabasebetaFinite Group DatabasebetaOrder 14528.
162 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 162 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×#16813885 | C2 | semidirect |
| 2. C2×#16813869 | C2 | semidirect |
| 3. #20300259 | C2 | semidirect |
| 4. #20300212 | C2 | semidirect |
| 5. #20300210 | C2 | semidirect |
| 6. (C2×D227)⋊C8 | C2 | semidirect |
| 7. C2×SD16×C227 | C2 | semidirect |
| 27. D908 | D4 | semidirect |
| 37. Q8×C227 | D4 | semidirect |
| 64. C227 | #449 | semidirect |
| 67. C2×SD16 | D227 | semidirect |
| 92. Q8 | C22⋊D227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813885 | 2 |
| C2×#16813869 | 2 |
| #20300259 | 2 |
| #20300212 | 2 |
| #20300210 | 2 |
| (C2×D227)⋊C8 | 2 |
| C2×SD16×C227 | 2 |
| #449 | 227 |