Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
256 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19127449 | C2 | direct (N × H) |
| 69. C2×C83 | #333 | semidirect |
| 74. C83 | C2×#333 | semidirect |
| 143. C2 | #19127449 | direct (N × H) |