Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
292 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 18. C2×Q8×C13 | C8 | semidirect |
| 34. C2×#1055 | Q8 | semidirect |
| 88. C2×Q8 | #1055 | semidirect |
| 105. C13 | #1984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Q8×C13 | 2 |
| C2×C4⋊#1055 | 2 |
| C2×C4×#1055 | 2 |
| #11718116 | 2 |
| #1984 | 13 |