Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
174 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 74 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. C2×D13⋊C16 | C2 | semidirect |
| 3. #11718259 | C2 | semidirect |
| 4. C4⋊#6092 | C2 | semidirect |
| 5. C4×#6092 | C2 | semidirect |
| 27. #6092 | D4 | semidirect |
| 34. D52 | C16 | semidirect |
| 49. C2×D13 | C2×C16 | semidirect |
| 51. C4×C13 | C2×C16 | semidirect |
| 81. C13 | D4×C16 | semidirect |
| 100. 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 |
| #11718495 | 2 |
| #11718259 | 2 |
| C4⋊#6092 | 2 |
| C4×#6092 | 2 |
| D4×C16 | 13 |