Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
166 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 55 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×#494 | C2 | semidirect |
| 4. #11718156 | C2 | semidirect |
| 5. C4⋊#6090 | C2 | semidirect |
| 48. #494 | D13 | semidirect |
| 58. C4×C13 | SD32 | semidirect |
| 92. C13 | #2208 | semidirect |
| 114. C4 | #88068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#494 | 2 |
| C2×#88068 | 2 |
| C4×D104 | 2 |
| #11718156 | 2 |
| C4⋊#6090 | 2 |
| #2208 | 13 |