Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
362 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. #20295754 | C2 | semidirect |
| 3. #20295419 | C2 | semidirect |
| 5. #20295251 | C2 | semidirect |
| 6. #20295236 | C2 | semidirect |
| 7. #20295230 | C2 | semidirect |
| 9. #20295156 | C2 | semidirect |
| 10. #20295125 | C2 | semidirect |
| 11. C4×Q16×C109 | C2 | semidirect |
| 122. C109 | #3400 | semidirect |
| 133. C4×Q16 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295761 | 2 |
| #20295754 | 2 |
| #20295419 | 2 |
| #20295399 | 2 |
| #20295251 | 2 |
| #20295236 | 2 |
| #20295230 | 2 |
| #20295226 | 2 |
| #20295156 | 2 |
| #20295125 | 2 |
| C4×Q16×C109 | 2 |
| #3400 | 109 |