Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
| 2. C2×#16812705 | C2 | semidirect |
| 4. #20295600 | C2 | semidirect |
| 5. #20295283 | C2 | semidirect |
| 6. #20295275 | C2 | semidirect |
| 7. #20295266 | C2 | semidirect |
| 8. #20295258 | C2 | semidirect |
| 9. #20295066 | C2 | semidirect |
| 10. #20295023 | C2 | semidirect |
| 11. C2×#103×C109 | C2 | semidirect |
| 58. #13182013 | D4 | semidirect |
| 144. C109 | #3063 | semidirect |
| 155. C2×#103 | 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×#16812705 | 2 |
| #20295607 | 2 |
| #20295600 | 2 |
| #20295283 | 2 |
| #20295275 | 2 |
| #20295266 | 2 |
| #20295258 | 2 |
| #20295066 | 2 |
| #20295023 | 2 |
| C2×#103×C109 | 2 |
| #3063 | 109 |