Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
392 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 137 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. #19098850 | C2 | semidirect |
| 3. #19098848 | C2 | semidirect |
| 4. #19098794 | C2 | semidirect |
| 5. #19098765 | C2 | semidirect |
| 6. #19098763 | C2 | semidirect |
| 7. C2×C4⋊(C79⋊C8) | C2 | semidirect |
| 8. #533×C79 | C2 | semidirect |
| 74. C2×C4×C79 | SD16 | semidirect |
| 113. C79 | #3246 | semidirect |
| 114. #533 | D79 | semidirect |
| 195. C2×C4 | #11929611 | semidirect |