Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
404 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. C2×#16812623 | C2 | semidirect |
| 5. #20294789 | C2 | semidirect |
| 6. #20294788 | C2 | semidirect |
| 7. C2×#103×C109 | C2 | semidirect |
| 12. #16812675 | C4 | semidirect |
| 44. C4⋊Dic109 | C2×C4 | semidirect |
| 54. C2×Q8×C109 | C2×C4 | semidirect |
| 116. C2×D109 | #103 | semidirect |
| 135. C109 | #1872 | semidirect |
| 139. C2×#103 | D109 | semidirect |
| 167. C2×Q8 | C4×D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812675 | 2 |
| C2×C4⋊C4×D109 | 2 |
| C2×#16812623 | 2 |
| C2×#16812611 | 2 |
| #20294789 | 2 |
| #20294788 | 2 |
| C2×#103×C109 | 2 |
| #1872 | 109 |