Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
380 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 157 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. #20295432 | C2 | semidirect |
| 3. #20295429 | C2 | semidirect |
| 4. #20295422 | C2 | semidirect |
| 31. #13182013 | Q8 | semidirect |
| 74. #11724784 | C2×Q8 | semidirect |
| 93. C109 | #3165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295583 | 2 |
| #20295432 | 2 |
| #20295429 | 2 |
| #20295422 | 2 |
| #20295066 | 2 |
| C4×#13182013 | 2 |
| C2×C4⋊Q8×C109 | 2 |
| #3165 | 109 |