Finite Group DatabasebetaFinite Group DatabasebetaOrder 1984.
310 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 155 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. C31×#117 | C2 | semidirect |
| 3. C2×C4×Dic31 | C2 | semidirect |
| 4. #11758470 | C2 | semidirect |
| 5. #11758464 | C2 | semidirect |
| 6. (C22⋊D31)⋊C4 | C2 | semidirect |
| 7. #11758449 | C2 | semidirect |
| 8. C42×D31 | C2 | semidirect |
| 12. #92495 | C4 | semidirect |
| 28. C2×C4×C31 | C2×C4 | semidirect |
| 32. C22⋊D31 | C2×C4 | semidirect |
| 37. D124 | C2×C4 | semidirect |
| 39. C4×D31 | C2×C4 | semidirect |
| 40. Dic62 | C2×C4 | semidirect |
| 51. Dic31 | #41 | semidirect |
| 62. #117 | D31 | semidirect |
| 65. C31 | C4×#41 | semidirect |
| 94. C2×C4 | C4×D31 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#92495 | 2 |
| C31×#117 | 2 |
| C2×C4×Dic31 | 2 |
| #11758470 | 2 |
| #11758464 | 2 |
| (C22⋊D31)⋊C4 | 2 |
| #11758449 | 2 |
| C42×D31 | 2 |
| C4×#41 | 31 |