Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
266 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 2. #19127725 | C2 | semidirect |
| 3. #19127433 | C2 | semidirect |
| 4. #19127430 | C2 | semidirect |
| 5. C4×M16×C83 | C2 | semidirect |
| 70. D332 | M16 | semidirect |
| 76. Dic166 | M16 | semidirect |
| 103. C83 | #1489 | semidirect |
| 106. C4×M16 | D83 | semidirect |