Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#16812697 | C2 | semidirect |
| 5. #20295235 | C2 | semidirect |
| 6. #20295230 | C2 | semidirect |
| 7. #20295049 | C2 | semidirect |
| 8. #20295034 | C2 | semidirect |
| 9. #419×C109 | C2 | semidirect |
| 116. Dic109 | #137 | semidirect |
| 122. C109 | #3039 | semidirect |
| 131. #419 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812732 | 2 |
| C2×#16812730 | 2 |
| C2×#16812697 | 2 |
| #20295494 | 2 |
| #20295235 | 2 |
| #20295230 | 2 |
| #20295049 | 2 |
| #20295034 | 2 |
| #419×C109 | 2 |
| #3039 | 109 |