Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14521102 | C2 | semidirect |
| 3. #14520776 | C2 | semidirect |
| 4. C31×#423 | C2 | semidirect |
| 16. C31×C4⋊C8 | C22 | semidirect |
| 19. C4×C31⋊C8 | C22 | semidirect |
| 62. D124 | M16 | semidirect |
| 87. #423 | D31 | semidirect |
| 106. C4⋊C8 | C2×D31 | semidirect |
| 109. C31 | #1486 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D124 | 2 |
| #14521102 | 2 |
| #14520776 | 2 |
| C31×#423 | 2 |
| #1486 | 31 |