Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
256 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 16. C13×C4⋊C8 | C4 | semidirect |
| 17. #88054 | C4 | semidirect |
| 18. C4⋊#1055 | C4 | semidirect |
| 85. C4×C13 | #107 | semidirect |
| 89. Dic13 | #107 | semidirect |
| 103. C4⋊C8 | #261 | semidirect |
| 135. C13 | #1947 | semidirect |
| 177. C4 | #88102 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88102 | 2 |
| #11719059 | 2 |
| C4×C4⋊#261 | 2 |
| D13×C4⋊C8 | 2 |
| #11718265 | 2 |
| #1947 | 13 |