Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
416 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#16812699 | C2 | semidirect |
| 3. #20295322 | C2 | semidirect |
| 4. #20295317 | C2 | semidirect |
| 5. #20295312 | C2 | semidirect |
| 6. #20295307 | C2 | semidirect |
| 7. #20295068 | C2 | semidirect |
| 9. #423×C109 | C2 | semidirect |
| 36. #13182029 | Q8 | semidirect |
| 89. D436 | C2×Q8 | semidirect |
| 96. Dic218 | C2×Q8 | semidirect |
| 122. C109 | #3079 | semidirect |
| 130. #423 | D109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16812699 | 2 |
| C4×#13182029 | 2 |
| #20295322 | 2 |
| #20295317 | 2 |
| #20295312 | 2 |
| #20295307 | 2 |
| #20295068 | 2 |
| #20295028 | 2 |
| #423×C109 | 2 |
| #3079 | 109 |