Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
324 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×Dic79⋊C8 | C2 | semidirect |
| 5. #19098318 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. C2×C4⋊C8×C79 | C2 | semidirect |
| 70. C2×C4×C79 | M16 | semidirect |
| 85. C2×Dic79 | M16 | semidirect |
| 126. C79 | #1851 | semidirect |
| 129. C2×C4⋊C8 | D79 | semidirect |
| 209. C2×C4 | #11929607 | semidirect |