Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 1. #20295657 | C2 | semidirect |
| 3. #20295332 | C2 | semidirect |
| 4. #20295329 | C2 | semidirect |
| 5. #20295320 | C2 | semidirect |
| 6. #20295305 | C2 | semidirect |
| 7. #20295066 | C2 | semidirect |
| 8. #20295052 | C2 | semidirect |
| 11. C2×#107×C109 | C2 | semidirect |
| 42. #13182029 | Q8 | semidirect |
| 124. C109 | #3083 | semidirect |
| 132. C2×#107 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295657 | 2 |
| #20295507 | 2 |
| #20295332 | 2 |
| #20295329 | 2 |
| #20295320 | 2 |
| #20295305 | 2 |
| #20295066 | 2 |
| #20295052 | 2 |
| #20295025 | 2 |
| #20295023 | 2 |
| C2×#107×C109 | 2 |
| #3083 | 109 |