Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
344 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 93 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. C13×#519 | C2 | semidirect |
| 3. C2×#88076 | C2 | semidirect |
| 5. #11718124 | C2 | semidirect |
| 12. #88201 | C4 | semidirect |
| 63. #519 | D13 | semidirect |
| 120. C13 | #1888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#519 | 2 |
| C2×#88201 | 2 |
| C2×#88076 | 2 |
| #11718662 | 2 |
| #11718124 | 2 |
| #1888 | 13 |