Finite Group DatabasebetaFinite Group DatabasebetaOrder 3968.
384 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 1. C2×#11758467 | C2 | semidirect |
| 3. #14521358 | C2 | semidirect |
| 4. #14521354 | C2 | semidirect |
| 5. #14521351 | C2 | semidirect |
| 6. #14521347 | C2 | semidirect |
| 7. #14521091 | C2 | semidirect |
| 8. #14521089 | C2 | semidirect |
| 9. #14521072 | C2 | semidirect |
| 178. C31 | #3080 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11758467 | 2 |
| #41×Dic31 | 2 |
| #14521358 | 2 |
| #14521354 | 2 |
| #14521351 | 2 |
| #14521347 | 2 |
| #14521091 | 2 |
| #14521089 | 2 |
| #14521072 | 2 |
| #14521050 | 2 |
| C31×#417 | 2 |
| #3080 | 31 |