Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
280 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 149 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 |
|---|---|---|
| 12. C4×C31⋊C8 | C4 | semidirect |
| 38. C31⋊C8 | C4⋊C4 | semidirect |
| 46. C4×C31 | #107 | semidirect |
| 67. C31 | #1845 | semidirect |
| 101. C4 | #11758395 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758395 | 2 |
| C2×C4×C31⋊C8 | 2 |
| #14520919 | 2 |
| C31×#384 | 2 |
| #1845 | 31 |