Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
402 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. C2×#88056 | C2 | semidirect |
| 5. #11718635 | C2 | semidirect |
| 6. #11718142 | C2 | semidirect |
| 7. #11718121 | C2 | semidirect |
| 18. C2×#6105 | C4 | semidirect |
| 47. C2×Dic26 | C2×C4 | semidirect |
| 61. C2×#1055 | C2×C4 | semidirect |
| 96. C2×Dic13 | SD16 | semidirect |
| 195. C13 | #1877 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D4×Dic13 | 2 |
| C22×#6105 | 2 |
| C2×C13×#102 | 2 |
| C2×#88056 | 2 |
| #11718635 | 2 |
| #11718142 | 2 |
| #11718121 | 2 |
| #1877 | 13 |