Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
258 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 83 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×#10620281 | C2 | semidirect |
| 3. C2×C4×Dic41 | C2 | semidirect |
| 4. C2×C4⋊C4×C41 | C2 | semidirect |
| 11. C2×D164 | C4 | semidirect |
| 28. C2×Dic41 | D4 | semidirect |
| 41. C4×C41 | C22⋊C4 | semidirect |
| 50. C41 | #390 | semidirect |
| 52. C2×C4⋊C4 | D41 | semidirect |
| 92. C4 | #10620281 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D164 | 2 |
| C2×#10620281 | 2 |
| C2×C4×Dic41 | 2 |
| C2×C4⋊C4×C41 | 2 |
| #390 | 41 |