Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
700 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 165 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. C2×#16812729 | C2 | semidirect |
| 2. C22×#13182019 | C2 | semidirect |
| 3. #20295597 | C2 | semidirect |
| 4. #20295188 | C2 | semidirect |
| 5. #20295182 | C2 | semidirect |
| 6. #20295035 | C2 | semidirect |
| 7. #20295022 | C2 | semidirect |
| 8. #20294993 | C2 | semidirect |
| 141. C109 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812729 | 2 |
| C22×#13182019 | 2 |
| #20295597 | 2 |
| #20295188 | 2 |
| #20295182 | 2 |
| #20295035 | 2 |
| #20295022 | 2 |
| #20294993 | 2 |
| C2×2−1+4×C109 | 2 |
| #3011 | 109 |