Finite Group DatabasebetaFinite Group DatabasebetaOrder 10624.
266 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19127723 | C2 | semidirect |
| 3. C4×#13050573 | C2 | semidirect |
| 4. #19127433 | C2 | semidirect |
| 5. #19127431 | C2 | semidirect |
| 6. D4⋊(C83⋊C8) | C2 | semidirect |
| 7. D4⋊C8×C83 | C2 | semidirect |
| 61. D4×C83 | M16 | semidirect |
| 82. Dic166 | M16 | semidirect |
| 111. C83 | #1489 | semidirect |
| 118. D4⋊C8 | D83 | semidirect |
| 175. D4 | #13050573 | semidirect |