Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
284 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 66 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. #20296036 | C2 | semidirect |
| 2. #20296024 | C2 | semidirect |
| 3. #20296006 | C2 | semidirect |
| 4. #20295989 | C2 | semidirect |
| 20. C2×Dic436 | C4 | semidirect |
| 21. C2×#13182017 | C4 | semidirect |
| 23. C2×D8×C109 | C4 | semidirect |
| 97. C109 | #1976 | semidirect |
| 110. C2×D8 | #89137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296036 | 2 |
| #20296024 | 2 |
| #20296006 | 2 |
| #20295989 | 2 |
| C2×#16812718 | 2 |
| #1976 | 109 |