Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
504 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 504 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×#16812721 | C2 | semidirect |
| 2. #20295697 | C2 | semidirect |
| 3. #20295403 | C2 | semidirect |
| 4. #20295262 | C2 | semidirect |
| 5. #20295227 | C2 | semidirect |
| 6. #20295173 | C2 | semidirect |
| 7. C4×Dic436 | C2 | semidirect |
| 8. C8×D4×C109 | C2 | semidirect |
| 38. Dic436 | D4 | semidirect |
| 87. C4×C109 | #135 | semidirect |
| 98. C109 | #3287 | semidirect |
| 106. C8×D4 | D109 | semidirect |
| 187. C4 | #16812721 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812721 | 2 |
| #20295697 | 2 |
| #20295403 | 2 |
| #20295262 | 2 |
| #20295227 | 2 |
| #20295173 | 2 |
| C4×Dic436 | 2 |
| C8×D4×C109 | 2 |
| #3287 | 109 |