Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
262 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11718785 | C2 | semidirect |
| 5. #11718779 | C2 | semidirect |
| 6. #11718125 | C2 | semidirect |
| 7. #11718124 | C2 | semidirect |
| 19. #88077 | C4 | semidirect |
| 20. #88077 | C4 | semidirect |
| 150. C13 | #1861 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719524 | 2 |
| C13×#421 | 2 |
| C2×#88077 | 2 |
| #11718785 | 2 |
| #11718779 | 2 |
| #11718125 | 2 |
| #11718124 | 2 |
| #1861 | 13 |