Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
282 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 282 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 |
|---|---|---|
| 35. C2×C8×C13 | Q8 | semidirect |
| 43. C4⋊Dic13 | Q8 | semidirect |
| 50. C2×#1055 | Q8 | semidirect |
| 141. C2×C8 | Dic26 | semidirect |
| 154. C13 | #2057 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88142 | 2 |
| C2×C13×#107 | 2 |
| #11718634 | 2 |
| C2×#88047 | 2 |
| #11718143 | 2 |
| #11718142 | 2 |
| #11718121 | 2 |
| #2057 | 13 |