Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
244 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 244 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20295579 | C2 | semidirect |
| 5. #20294798 | C2 | semidirect |
| 6. #20294785 | C2 | semidirect |
| 7. H(3,ℤ/4)×C109 | C2 | semidirect |
| 28. C2×Dic218 | Q8 | semidirect |
| 29. C2×D436 | Q8 | semidirect |
| 103. C109 | #2031 | semidirect |
| 110. H(3,ℤ/4) | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295579 | 2 |
| #20295044 | 2 |
| C2×#16812625 | 2 |
| #20294999 | 2 |
| #20294798 | 2 |
| #20294785 | 2 |
| H(3,ℤ/4)×C109 | 2 |
| #2031 | 109 |