Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
358 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20295333 | C2 | semidirect |
| 4. #20295236 | C2 | semidirect |
| 6. #20295131 | C2 | semidirect |
| 7. C4×#13182019 | C2 | semidirect |
| 96. C109 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295638 | 2 |
| #20295367 | 2 |
| #20295333 | 2 |
| #20295236 | 2 |
| #20295182 | 2 |
| #20295131 | 2 |
| C4×#13182019 | 2 |
| #20295087 | 2 |
| #519×C109 | 2 |
| #3127 | 109 |