Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
376 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 135 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. #20295336 | C2 | semidirect |
| 4. #20295332 | C2 | semidirect |
| 5. #20295320 | C2 | semidirect |
| 6. #20295310 | C2 | semidirect |
| 47. C2×Dic218 | Q8 | semidirect |
| 130. C109 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295579 | 2 |
| C2×#16812664 | 2 |
| #20295336 | 2 |
| #20295332 | 2 |
| #20295320 | 2 |
| #20295310 | 2 |
| #20295066 | 2 |
| #20295049 | 2 |
| #20295036 | 2 |
| #20295034 | 2 |
| #428×C109 | 2 |
| #3078 | 109 |