Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
338 conjugacy classes of subgroups; only the 151 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 151 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×C22⋊D41 | C2 | semidirect |
| 3. #13050124 | C2 | semidirect |
| 4. #13050120 | C2 | semidirect |
| 5. C2×C22⋊Dic41 | C2 | semidirect |
| 6. C22⋊C4×D41 | C2 | semidirect |
| 7. C2×C22⋊C4×C41 | C2 | semidirect |
| 10. C22×C4×C41 | C22 | semidirect |
| 11. C2×C22⋊D41 | C4 | semidirect |
| 15. C22×Dic41 | C22 | semidirect |
| 16. C2×C4×D41 | C22 | semidirect |
| 18. C22⋊C4×C41 | C22 | semidirect |
| 20. C22⋊Dic41 | C22 | semidirect |
| 21. #10620281 | C22 | semidirect |
| 22. #10620279 | C22 | semidirect |
| 23. C4×Dic41 | C22 | semidirect |
| 25. C23×C41 | C2×C4 | semidirect |
| 30. C22×D41 | C2×C4 | semidirect |
| 34. C22⋊D41 | C2×C4 | semidirect |
| 35. C22⋊D41 | C2×C4 | semidirect |
| 37. C2×Dic41 | C2×C4 | semidirect |
| 62. C41 | #518 | semidirect |
| 69. C2×C22⋊C4 | D41 | semidirect |
| 78. C22×C4 | C2×D41 | semidirect |
| 84. C22⋊C4 | C2×D41 | semidirect |
| 90. C23 | C4×D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊D41 | 2 |
| C4×C22⋊D41 | 2 |
| #13050124 | 2 |
| #13050120 | 2 |
| C2×C22⋊Dic41 | 2 |
| C22⋊C4×D41 | 2 |
| C2×C22⋊C4×C41 | 2 |
| #518 | 41 |