Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
480 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 2. D13×C4⋊Q8 | C2 | semidirect |
| 4. C13×#462 | C2 | semidirect |
| 5. #11718843 | C2 | semidirect |
| 6. #11718744 | C2 | semidirect |
| 7. #11718692 | C2 | semidirect |
| 8. #11718502 | C2 | semidirect |
| 9. #11718498 | C2 | semidirect |
| 10. #11718479 | C2 | semidirect |
| 11. #11718463 | C2 | semidirect |
| 127. #462 | D13 | semidirect |
| 144. C4×C13 | #137 | semidirect |
| 151. Dic13 | #137 | semidirect |
| 233. C13 | #3039 | semidirect |
| 283. C4 | #88172 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88172 | 2 |
| D13×C4⋊Q8 | 2 |
| C4×#6131 | 2 |
| C13×#462 | 2 |
| #11718843 | 2 |
| #11718744 | 2 |
| #11718692 | 2 |
| #11718502 | 2 |
| #11718498 | 2 |
| #11718479 | 2 |
| #11718463 | 2 |
| #3039 | 13 |