Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
552 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 237 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 |
|---|---|---|
| 11. C4×Dic158 | C4 | semidirect |
| 70. Dic158 | C4⋊C4 | semidirect |
| 90. C79 | #2351 | semidirect |