Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
278 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 85 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×#108 | C2 | semidirect |
| 4. C2×#88062 | C2 | semidirect |
| 6. #11718150 | C2 | semidirect |
| 7. #11718144 | C2 | semidirect |
| 90. C2×#108 | D13 | semidirect |
| 107. C2×D13 | #108 | semidirect |
| 169. C13 | #1855 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×M16×D13 | 2 |
| C2×C13×#108 | 2 |
| #11718787 | 2 |
| C2×#88062 | 2 |
| C2×#88060 | 2 |
| #11718150 | 2 |
| #11718144 | 2 |
| #1855 | 13 |