Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
184 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 3. #11718260 | C2 | semidirect |
| 4. C4⋊#6092 | C2 | semidirect |
| 38. C4×D13 | C16 | semidirect |
| 55. C4×C13 | C2×C16 | semidirect |
| 60. Dic13 | C2×C16 | semidirect |
| 73. D13 | C4⋊C16 | semidirect |
| 89. C13 | C2×C4⋊C16 | semidirect |
| 114. C4 | D13⋊C16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊C16 | 2 |
| C4×C8×D13 | 2 |
| #11718260 | 2 |
| C4⋊#6092 | 2 |
| C2×C4⋊C16 | 13 |