Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
134 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 134 conjugacy classes of subgroups — too many to draw. Only its 41 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×#10620282 | C2 | semidirect |
| 2. C2×C8×D41 | C2 | semidirect |
| 3. #13050139 | C2 | semidirect |
| 4. #13050135 | C2 | semidirect |
| 5. #13050097 | C2 | semidirect |
| 6. #13050086 | C2 | semidirect |
| 7. #102×C41 | C2 | semidirect |
| 37. #66491 | D4 | semidirect |
| 47. C2×D41 | D8 | semidirect |
| 60. C41 | #466 | semidirect |
| 67. #102 | D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10620282 | 2 |
| C2×C8×D41 | 2 |
| #13050139 | 2 |
| #13050135 | 2 |
| #13050097 | 2 |
| #13050086 | 2 |
| #102×C41 | 2 |
| #466 | 41 |