Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
362 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 2. #20295333 | C2 | semidirect |
| 3. #20295333 | C2 | semidirect |
| 4. #20295321 | C2 | semidirect |
| 5. #20295311 | C2 | semidirect |
| 59. C2×Q8×C109 | Q8 | semidirect |
| 117. C109 | #3082 | semidirect |
| 161. C2×Q8 | Dic218 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295654 | 2 |
| #20295333 | 2 |
| #20295321 | 2 |
| #20295311 | 2 |
| #20295069 | 2 |
| #20295062 | 2 |
| #20295053 | 2 |
| #20295035 | 2 |
| C2×#16812623 | 2 |
| #519×C109 | 2 |
| #3082 | 109 |