Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
158 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 158 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. C2×C8×D41 | C2 | semidirect |
| 3. #13050122 | C2 | semidirect |
| 4. #13050088 | C2 | semidirect |
| 5. #13050086 | C2 | semidirect |
| 6. #13050084 | C2 | semidirect |
| 7. #103×C41 | C2 | semidirect |
| 10. #10620310 | C4 | semidirect |
| 58. C41 | #416 | semidirect |
| 63. #103 | D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10620310 | 2 |
| C2×C8×D41 | 2 |
| #13050122 | 2 |
| #13050088 | 2 |
| #13050086 | 2 |
| #13050084 | 2 |
| #103×C41 | 2 |
| #416 | 41 |