Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
148 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 15. #11758417 | C4 | semidirect |
| 83. C31 | #2176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758417 | 2 |
| C4×Dic124 | 2 |
| #14520876 | 2 |
| #14520853 | 2 |
| #14520852 | 2 |
| #14520825 | 2 |
| C4×Q16×C31 | 2 |
| #2176 | 31 |