Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
752 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 181 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 |
|---|---|---|
| 1. C2×#14579159 | C2 | semidirect |
| 3. C2×#14579150 | C2 | semidirect |
| 4. C2×#14579149 | C2 | semidirect |
| 5. C2×#14579148 | C2 | semidirect |
| 6. #19098463 | C2 | semidirect |
| 7. C42×Dic79 | C2 | semidirect |
| 8. C2×#124×C79 | C2 | semidirect |
| 47. C4×Dic79 | D4 | semidirect |
| 59. C42×C79 | D4 | semidirect |
| 106. Dic79 | #124 | semidirect |
| 114. C79 | #2858 | semidirect |
| 120. C2×#124 | D79 | semidirect |
| 173. C42 | C22⋊D79 | semidirect |