Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
106 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 106 conjugacy classes of subgroups — too many to draw. Only its 39 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. #13050123 | C2 | semidirect |
| 3. #13050098 | C2 | semidirect |
| 4. #13050096 | C2 | semidirect |
| 5. #13050086 | C2 | semidirect |
| 6. #13050086 | C2 | semidirect |
| 7. C22⋊C8×C41 | C2 | semidirect |
| 52. C41 | #482 | semidirect |
| 59. C22⋊C8 | D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13050138 | 2 |
| #13050123 | 2 |
| #13050098 | 2 |
| #13050096 | 2 |
| #13050086 | 2 |
| C22⋊C8×C41 | 2 |
| #482 | 41 |