Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
284 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20295062 | C2 | semidirect |
| 3. #20295044 | C2 | semidirect |
| 4. #20295043 | C2 | semidirect |
| 5. #20294999 | C2 | semidirect |
| 6. #20294982 | C2 | semidirect |
| 7. #410×C109 | C2 | semidirect |
| 13. C2×#13182019 | C4 | semidirect |
| 14. C2×#13182017 | C4 | semidirect |
| 15. C2×#13182016 | C4 | semidirect |
| 16. C2×#13182014 | C4 | semidirect |
| 133. C109 | #1976 | semidirect |
| 139. #410 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812719 | 2 |
| #20295062 | 2 |
| #20295044 | 2 |
| #20295043 | 2 |
| #20294999 | 2 |
| #20294982 | 2 |
| #410×C109 | 2 |
| #1976 | 109 |