Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20295751 | C2 | semidirect |
| 4. #20295331 | C2 | semidirect |
| 7. #20295233 | C2 | semidirect |
| 8. C8×Dic218 | C2 | semidirect |
| 9. #20295118 | C2 | semidirect |
| 11. #487×C109 | C2 | semidirect |
| 116. C109 | #3364 | semidirect |
| 120. #487 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295751 | 2 |
| #20295750 | 2 |
| #20295382 | 2 |
| #20295331 | 2 |
| #20295303 | 2 |
| #20295251 | 2 |
| #20295233 | 2 |
| C8×Dic218 | 2 |
| #20295118 | 2 |
| C4×#13182018 | 2 |
| #487×C109 | 2 |
| #3364 | 109 |