Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
398 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 115 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. #11719430 | C2 | semidirect |
| 2. #11719262 | C2 | semidirect |
| 3. C13×#476 | C2 | semidirect |
| 4. #11718752 | C2 | semidirect |
| 5. #11718676 | C2 | semidirect |
| 6. #11718532 | C2 | semidirect |
| 7. #11718525 | C2 | semidirect |
| 8. #11718509 | C2 | semidirect |
| 9. D13×C4⋊C8 | C2 | semidirect |
| 10. #11718448 | C2 | semidirect |
| 11. #11718436 | C2 | semidirect |
| 119. #476 | D13 | semidirect |
| 223. C13 | #3247 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719430 | 2 |
| #11719262 | 2 |
| C13×#476 | 2 |
| #11718752 | 2 |
| #11718676 | 2 |
| #11718532 | 2 |
| #11718525 | 2 |
| #11718509 | 2 |
| D13×C4⋊C8 | 2 |
| #11718448 | 2 |
| #11718436 | 2 |
| #3247 | 13 |