Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
104 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 37 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. #11758528 | C2 | semidirect |
| 3. #11758525 | C2 | semidirect |
| 4. C2×#92480 | C2 | semidirect |
| 5. #11758421 | C2 | semidirect |
| 6. #11758412 | C2 | semidirect |
| 7. #11758410 | C2 | semidirect |
| 59. C31 | #471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C31×AGL(1,ℤ/8) | 2 |
| #11758528 | 2 |
| #11758525 | 2 |
| C2×#92480 | 2 |
| #11758421 | 2 |
| #11758412 | 2 |
| #11758410 | 2 |
| #471 | 31 |