Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
540 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 162 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. #20295977 | C2 | semidirect |
| 3. #20295976 | C2 | semidirect |
| 4. #20295969 | C2 | semidirect |
| 5. #20295968 | C2 | semidirect |
| 6. C4×C4⋊#89137 | C2 | semidirect |
| 7. #20295962 | C2 | semidirect |
| 22. C4×D436 | C4 | semidirect |
| 23. D4×Dic109 | C4 | semidirect |
| 24. #16812661 | C4 | semidirect |
| 25. C4×C22⋊D109 | C4 | semidirect |
| 26. #16812659 | C4 | semidirect |
| 30. C4×D4×C109 | C4 | semidirect |
| 133. C109 | #2319 | semidirect |
| 149. C4×D4 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295978 | 2 |
| #20295977 | 2 |
| #20295976 | 2 |
| #20295969 | 2 |
| #20295968 | 2 |
| C4×C4⋊#89137 | 2 |
| #20295962 | 2 |
| C4×D4×D109 | 2 |
| #2319 | 109 |