Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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×#16812732 | C2 | semidirect |
| 3. C22×#13182019 | C2 | semidirect |
| 4. #20295600 | C2 | semidirect |
| 5. #20295597 | C2 | semidirect |
| 6. #20295419 | C2 | semidirect |
| 7. #20295417 | C2 | semidirect |
| 8. #20295407 | C2 | semidirect |
| 9. #20295404 | C2 | semidirect |
| 10. #20294984 | C2 | semidirect |
| 11. C2×#137×C109 | C2 | semidirect |
| 144. C109 | #3156 | semidirect |
| 146. C2×#137 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812732 | 2 |
| C2×#16812719 | 2 |
| C22×#13182019 | 2 |
| #20295600 | 2 |
| #20295597 | 2 |
| #20295419 | 2 |
| #20295417 | 2 |
| #20295407 | 2 |
| #20295404 | 2 |
| #20294984 | 2 |
| C2×#137×C109 | 2 |
| #3156 | 109 |