Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
340 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19098968 | C2 | semidirect |
| 3. #19098903 | C2 | semidirect |
| 4. #19098848 | C2 | semidirect |
| 5. #19098801 | C2 | semidirect |
| 7. #19098600 | C2 | semidirect |
| 8. C4×Q16×C79 | C2 | semidirect |
| 83. C79 | #3342 | semidirect |
| 89. C4×Q16 | D79 | semidirect |