Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
120 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
| 4. #13050098 | C2 | semidirect |
| 5. #13050089 | C2 | semidirect |
| 7. #97×C41 | C2 | semidirect |
| 19. #10620273 | C4 | semidirect |
| 31. Dic82 | C2×C4 | semidirect |
| 33. C8×C41 | C2×C4 | semidirect |
| 50. C41 | #440 | semidirect |
| 57. #97 | D41 | semidirect |
| 83. C8 | C4×D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10620273 | 2 |
| C4×Dic82 | 2 |
| C4×D164 | 2 |
| #13050098 | 2 |
| #13050089 | 2 |
| #13050086 | 2 |
| #97×C41 | 2 |
| #440 | 41 |