Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
372 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 133 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. #20295396 | C2 | semidirect |
| 3. #20295388 | C2 | semidirect |
| 4. #20295383 | C2 | semidirect |
| 5. #20295378 | C2 | semidirect |
| 6. #20295034 | C2 | semidirect |
| 9. C2×#16812622 | C2 | semidirect |
| 10. #20294982 | C2 | semidirect |
| 11. #544×C109 | C2 | semidirect |
| 128. C109 | #3137 | semidirect |
| 129. #544 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295602 | 2 |
| #20295396 | 2 |
| #20295388 | 2 |
| #20295383 | 2 |
| #20295378 | 2 |
| #20295034 | 2 |
| #20295025 | 2 |
| #20295020 | 2 |
| C2×#16812622 | 2 |
| #20294982 | 2 |
| #544×C109 | 2 |
| #3137 | 109 |