Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. C2×Q8×Dic109 | C2 | semidirect |
| 3. #20295362 | C2 | semidirect |
| 5. #20295335 | C2 | semidirect |
| 6. #20295246 | C2 | semidirect |
| 7. #20295182 | C2 | semidirect |
| 8. #20295130 | C2 | semidirect |
| 9. #20295127 | C2 | semidirect |
| 10. #20295080 | C2 | semidirect |
| 132. C109 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295557 | 2 |
| C2×Q8×Dic109 | 2 |
| #20295362 | 2 |
| #20295342 | 2 |
| #20295335 | 2 |
| #20295246 | 2 |
| #20295182 | 2 |
| #20295130 | 2 |
| #20295127 | 2 |
| #20295080 | 2 |
| #448×C109 | 2 |
| #3117 | 109 |