Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#16812730 | C2 | semidirect |
| 3. #20295506 | C2 | semidirect |
| 4. #20295245 | C2 | semidirect |
| 5. #20295238 | C2 | semidirect |
| 6. #20295233 | C2 | semidirect |
| 7. #20295228 | C2 | semidirect |
| 8. #20295053 | C2 | semidirect |
| 9. #20295027 | C2 | semidirect |
| 10. C2×#16812623 | C2 | semidirect |
| 11. #536×C109 | C2 | semidirect |
| 147. C109 | #3046 | semidirect |
| 150. #536 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812730 | 2 |
| C2×#16812719 | 2 |
| #20295506 | 2 |
| #20295245 | 2 |
| #20295238 | 2 |
| #20295233 | 2 |
| #20295228 | 2 |
| #20295053 | 2 |
| #20295027 | 2 |
| C2×#16812623 | 2 |
| #536×C109 | 2 |
| #3046 | 109 |