Finite Group DatabasebetaFinite Group DatabasebetaOrder 2624.
112 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 112 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 |
|---|---|---|
| 3. Q8×Dic41 | C2 | semidirect |
| 4. #13050093 | C2 | semidirect |
| 5. #13050088 | C2 | semidirect |
| 7. C2×Q16×C41 | C2 | semidirect |
| 52. C41 | #464 | semidirect |
| 53. C2×Q16 | D41 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10620284 | 2 |
| #13050153 | 2 |
| Q8×Dic41 | 2 |
| #13050093 | 2 |
| #13050088 | 2 |
| #13050086 | 2 |
| C2×Q16×C41 | 2 |
| #464 | 41 |