Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
266 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 65 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. #20295050 | C2 | semidirect |
| 3. C2×#16812627 | C2 | semidirect |
| 4. #20295010 | C2 | semidirect |
| 5. #20295008 | C2 | semidirect |
| 6. #20294784 | C2 | semidirect |
| 7. C2×#104×C109 | C2 | semidirect |
| 123. C109 | #2050 | semidirect |
| 127. C2×#104 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295824 | 2 |
| #20295050 | 2 |
| C2×#16812627 | 2 |
| #20295010 | 2 |
| #20295008 | 2 |
| #20294784 | 2 |
| C2×#104×C109 | 2 |
| #2050 | 109 |