Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
820 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 253 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×#14579126 | C2 | semidirect |
| 3. #19098468 | C2 | semidirect |
| 4. #19098467 | C2 | semidirect |
| 10. C22×Dic158 | C4 | semidirect |
| 43. C22⋊Dic79 | Q8 | semidirect |
| 78. C2×Dic79 | C2×Q8 | semidirect |
| 81. Dic158 | C22⋊C4 | semidirect |
| 86. C22×C79 | C4×Q8 | semidirect |
| 106. C79 | Q8×C22⋊C4 | semidirect |
| 192. C22 | #14579126 | semidirect |