Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
138 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 67 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. C4⋊(C79⋊C16) | C2 | semidirect |
| 5. #19098338 | C2 | semidirect |
| 6. C16×Dic79 | C2 | semidirect |
| 7. C4⋊C16×C79 | C2 | semidirect |
| 67. C79 | #2164 | semidirect |
| 70. C4⋊C16 | D79 | semidirect |