Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
276 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 276 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 5. C2×C4⋊Dic83 | C4 | semidirect |
| 8. C22⋊(C83⋊C8) | C4 | semidirect |
| 13. #95×C83 | C4 | semidirect |
| 94. C83 | #1294 | semidirect |
| 107. #95 | Dic83 | semidirect |