Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
1232 conjugacy classes of subgroups; only the 349 normal subgroups are shown.
This group has 1232 conjugacy classes of subgroups — too many to draw. Only its 349 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. C22×Dic31⋊C4 | C2 | semidirect |
| 4. #14520908 | C2 | direct (N × H) |
| 5. C2×C31⋊#95 | C2 | semidirect |
| 6. C2×C31×#95 | C2 | semidirect |
| 13. C22×C4×D31 | C4 | semidirect |
| 18. C2×Dic31⋊C4 | C22 | semidirect |
| 19. C31×#95 | C22 | semidirect |
| 20. C31⋊#95 | C22 | semidirect |
| 44. C2×C4×D31 | C2×C4 | semidirect |
| 59. C22×D31 | C4⋊C4 | semidirect |
| 74. C2×Dic31 | C22⋊C4 | semidirect |
| 94. C2×D31 | C2×C4⋊C4 | semidirect |
| 98. Dic31 | C2×C22⋊C4 | semidirect |
| 104. C2×#95 | D31 | semidirect |
| 105. C2×C31 | #380 | semidirect |
| 125. #95 | C2×D31 | semidirect |
| 126. C31 | C2×#380 | semidirect |
| 205. C2 | #14520908 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×C4×D31 | 2 |
| C22×Dic31⋊C4 | 2 |
| C22×(C2×D31)⋊C4 | 2 |
| #14520908 | 2 |
| C2×C31⋊#95 | 2 |
| C2×C31×#95 | 2 |
| C2×#380 | 31 |