Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
220 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 53 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×#14579107 | C2 | semidirect |
| 3. C2×#14579104 | C2 | semidirect |
| 4. #19098366 | C2 | semidirect |
| 5. #19098363 | C2 | semidirect |
| 6. C22⋊(C79⋊C16) | C2 | semidirect |
| 7. #467×C79 | C2 | semidirect |
| 86. C79 | #2189 | semidirect |
| 90. #467 | D79 | semidirect |