Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
162 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 63 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. C2×C4⋊C4×C31 | C2 | semidirect |
| 3. C2×#92474 | C2 | semidirect |
| 4. #11758398 | C2 | semidirect |
| 5. #11758397 | C2 | semidirect |
| 10. #92495 | C4 | semidirect |
| 29. D124 | C2×C4 | semidirect |
| 32. Dic62 | C2×C4 | semidirect |
| 54. C2×C4⋊C4 | D31 | semidirect |
| 57. C31 | #417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92495 | 2 |
| C2×C4⋊C4×C31 | 2 |
| C2×#92474 | 2 |
| #11758398 | 2 |
| #11758397 | 2 |
| #417 | 31 |