Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
260 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 97 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×#11758400 | C2 | semidirect |
| 3. (C2×D31)⋊C16 | C2 | semidirect |
| 4. C2×C31×M32 | C2 | semidirect |
| 13. C2×C16×C31 | C22 | semidirect |
| 15. C2×C31⋊C16 | C22 | semidirect |
| 58. C2×D31 | M32 | semidirect |
| 65. C2×M32 | D31 | semidirect |
| 81. C2×C16 | C2×D31 | semidirect |
| 82. C31 | #2112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C8×D31 | 2 |
| C2×#11758400 | 2 |
| (C2×D31)⋊C16 | 2 |
| C2×C31×M32 | 2 |
| #2112 | 31 |