Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
348 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 181 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. #20295155 | C2 | semidirect |
| 3. #20295153 | C2 | semidirect |
| 33. C2×#11724784 | Q8 | semidirect |
| 84. C109 | #2961 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20295579 | 2 |
| #20295155 | 2 |
| #20295153 | 2 |
| #20295052 | 2 |
| #20295049 | 2 |
| #20294984 | 2 |
| #20294982 | 2 |
| C2×#16812609 | 2 |
| #424×C109 | 2 |
| #2961 | 109 |