Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 103 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×C4×Dic62 | C2 | semidirect |
| 3. C2×#11758404 | C2 | semidirect |
| 6. #14520812 | C2 | semidirect |
| 7. C31×#336 | C2 | semidirect |
| 21. C2×#92470 | C4 | semidirect |
| 75. C2×C4×C31 | SD16 | semidirect |
| 98. Dic62 | C22⋊C4 | semidirect |
| 131. #336 | D31 | semidirect |
| 158. C31 | #1880 | semidirect |
| 225. C2×C4 | #92470 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#92470 | 2 |
| C2×C4×Dic62 | 2 |
| C2×#11758404 | 2 |
| C2×#11758409 | 2 |
| #14520951 | 2 |
| #14520812 | 2 |
| C31×#336 | 2 |
| #1880 | 31 |