Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×C13×C4⋊Q8 | C2 | semidirect |
| 3. #11718754 | C2 | semidirect |
| 4. #11718750 | C2 | semidirect |
| 5. #11718749 | C2 | semidirect |
| 6. #11718627 | C2 | semidirect |
| 7. C4×#6099 | C2 | semidirect |
| 82. C2×C4⋊Q8 | D13 | semidirect |
| 157. C13 | #3141 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C13×C4⋊Q8 | 2 |
| #11719182 | 2 |
| #11718754 | 2 |
| #11718750 | 2 |
| #11718749 | 2 |
| #11718627 | 2 |
| C4×#6099 | 2 |
| #3141 | 13 |