Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 129 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×C4×Dic218 | C2 | semidirect |
| 2. #20295337 | C2 | semidirect |
| 3. #20295318 | C2 | semidirect |
| 4. #20295223 | C2 | semidirect |
| 5. #20295164 | C2 | semidirect |
| 6. #20295126 | C2 | semidirect |
| 7. #20295083 | C2 | semidirect |
| 88. Dic218 | #41 | semidirect |
| 112. C109 | #3112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic218 | 2 |
| #20295337 | 2 |
| #20295318 | 2 |
| #20295223 | 2 |
| #20295164 | 2 |
| #20295126 | 2 |
| #20295083 | 2 |
| #532×C109 | 2 |
| #3112 | 109 |