Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
300 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 12. C4⋊Q8×C83 | C4 | semidirect |
| 19. C2×C83⋊C8 | Q8 | semidirect |
| 75. C83 | #1990 | semidirect |
| 83. C4⋊Q8 | Dic83 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C83⋊C8 | 2 |
| #19127571 | 2 |
| #19127463 | 2 |
| C2×C4⋊Q8×C83 | 2 |
| #1990 | 83 |