Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
120 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 3. C4×Dic62 | C2 | semidirect |
| 5. #11758398 | C2 | semidirect |
| 6. #11758395 | C2 | semidirect |
| 7. #11758391 | C2 | semidirect |
| 14. #92480 | C4 | semidirect |
| 31. Dic62 | C2×C4 | semidirect |
| 33. C31⋊C8 | C2×C4 | semidirect |
| 57. C31 | #440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D4×C31 | 2 |
| C2×#92480 | 2 |
| C4×Dic62 | 2 |
| #11758420 | 2 |
| #11758398 | 2 |
| #11758395 | 2 |
| #11758391 | 2 |
| #440 | 31 |