Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
336 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 108 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. C2×#16812754 | C2 | semidirect |
| 3. C2×C4×#11724786 | C2 | semidirect |
| 4. #20295892 | C2 | semidirect |
| 8. C22⋊#11724786 | C4 | semidirect |
| 94. C109 | #1750 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#11724786 | 2 |
| C2×#16812754 | 2 |
| C2×C4×#11724786 | 2 |
| #20295892 | 2 |
| C2×#16812655 | 2 |
| #1750 | 109 |