Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
402 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 87 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×C13×#102 | C2 | semidirect |
| 3. C2×#88072 | C2 | semidirect |
| 4. C2×#88061 | C2 | semidirect |
| 5. #11718634 | C2 | semidirect |
| 6. C2×#88049 | C2 | semidirect |
| 7. #11718142 | C2 | semidirect |
| 56. C4⋊Dic13 | D4 | semidirect |
| 113. C2×#102 | D13 | semidirect |
| 209. C13 | #2041 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88194 | 2 |
| C2×C13×#102 | 2 |
| C2×#88072 | 2 |
| C2×#88061 | 2 |
| #11718634 | 2 |
| C2×#88049 | 2 |
| #11718142 | 2 |
| #2041 | 13 |