Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#16812624 | C2 | semidirect |
| 4. #20294932 | C2 | semidirect |
| 6. #20294789 | C2 | semidirect |
| 7. C2×C4⋊C8×C109 | C2 | semidirect |
| 72. C2×C4×C109 | SD16 | semidirect |
| 130. C109 | #2055 | semidirect |
| 132. C2×C4⋊C8 | D109 | semidirect |
| 219. C2×C4 | #13182018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13182018 | 2 |
| C2×#16812624 | 2 |
| C2×#16812621 | 2 |
| #20294932 | 2 |
| #20294928 | 2 |
| #20294789 | 2 |
| C2×C4⋊C8×C109 | 2 |
| #2055 | 109 |