Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
282 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 32. C2×C83⋊C8 | Q8 | semidirect |
| 46. C2×C8×C83 | Q8 | semidirect |
| 50. C4⋊C4×C83 | Q8 | semidirect |
| 104. C83 | #2058 | semidirect |
| 142. C2×C8 | Dic166 | semidirect |
| 151. C4⋊C4 | Dic166 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14581791 | 2 |
| C2×#14581724 | 2 |
| C2×#14581723 | 2 |
| #19127600 | 2 |
| #19127463 | 2 |
| #19127455 | 2 |
| #340×C83 | 2 |
| #2058 | 83 |