Finite Group DatabasebetaFinite Group DatabasebetaOrder 13952.
264 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 84 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. #20296042 | C2 | semidirect |
| 2. C2×C4⋊#11724786 | C2 | semidirect |
| 3. #20295876 | C2 | semidirect |
| 4. #20295874 | C2 | semidirect |
| 27. #13182029 | C8 | semidirect |
| 69. D436 | C2×C8 | semidirect |
| 75. Dic218 | C2×C8 | semidirect |
| 102. C109 | #1477 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20296042 | 2 |
| C2×C4⋊#11724786 | 2 |
| #20295876 | 2 |
| #20295874 | 2 |
| #20295494 | 2 |
| #1477 | 109 |