Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #20295312 | C2 | semidirect |
| 5. #20295311 | C2 | semidirect |
| 6. #20295233 | C2 | semidirect |
| 8. #20295133 | C2 | semidirect |
| 9. #20295130 | C2 | semidirect |
| 11. #462×C109 | C2 | semidirect |
| 133. C109 | #3113 | semidirect |
| 140. #462 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295581 | 2 |
| C4×Q8×D109 | 2 |
| #20295355 | 2 |
| #20295312 | 2 |
| #20295311 | 2 |
| #20295233 | 2 |
| #20295180 | 2 |
| #20295133 | 2 |
| #20295130 | 2 |
| #20295082 | 2 |
| #462×C109 | 2 |
| #3113 | 109 |