Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
122 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 55 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. C4×Dic82 | C2 | semidirect |
| 3. #13050095 | C2 | semidirect |
| 4. #13050087 | C2 | semidirect |
| 6. C4×#66491 | C2 | semidirect |
| 14. #10620283 | C4 | direct (N × H) |
| 31. Dic82 | C2×C4 | semidirect |
| 33. #66491 | C2×C4 | semidirect |
| 40. C4×C41 | SD16 | semidirect |
| 50. C41 | C4×SD16 | semidirect |
| 92. C4 | #10620283 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10620283 | 2 |
| C4×Dic82 | 2 |
| #13050095 | 2 |
| #13050087 | 2 |
| #13050085 | 2 |
| C4×#66491 | 2 |
| C4×D4×C41 | 2 |
| C4×SD16 | 41 |