Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
122 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 55 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. #11758396 | C2 | semidirect |
| 7. C4×C31⋊C8 | C2 | semidirect |
| 14. #92480 | C4 | direct (N × H) |
| 31. Dic62 | C2×C4 | semidirect |
| 33. C31⋊C8 | C2×C4 | semidirect |
| 40. C4×C31 | SD16 | semidirect |
| 57. C31 | C4×SD16 | semidirect |
| 92. C4 | #92480 | direct (N × H) |
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 |
| #11758396 | 2 |
| C4×C31⋊C8 | 2 |
| C4×SD16 | 31 |