Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
376 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 153 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 |
|---|---|---|
| 4. #11718683 | C2 | semidirect |
| 5. #11718682 | C2 | semidirect |
| 6. #11718681 | C2 | semidirect |
| 35. C2×Q8×C13 | Q8 | semidirect |
| 143. C2×Q8 | Dic26 | semidirect |
| 170. C13 | #3078 | 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 |
| #11719175 | 2 |
| #11718886 | 2 |
| #11718683 | 2 |
| #11718682 | 2 |
| #11718681 | 2 |
| #11718625 | 2 |
| #11718585 | 2 |
| #3078 | 13 |