Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
198 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 63 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×C13×#107 | C2 | semidirect |
| 4. #11718144 | C2 | semidirect |
| 5. #11718122 | C2 | semidirect |
| 50. C2×#107 | D13 | semidirect |
| 98. C13 | #2078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×#107 | 2 |
| #11718771 | 2 |
| #11718627 | 2 |
| #11718144 | 2 |
| #11718122 | 2 |
| #2078 | 13 |