Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
424 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 133 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. #19098876 | C2 | semidirect |
| 3. #19098858 | C2 | semidirect |
| 4. #19098763 | C2 | semidirect |
| 5. #19098702 | C2 | semidirect |
| 6. #19098661 | C2 | semidirect |
| 7. #19098620 | C2 | semidirect |
| 8. C2×C4×Q8×C79 | C2 | semidirect |
| 68. Q8×C79 | #41 | semidirect |
| 112. C79 | #3112 | semidirect |
| 114. C2×C4×Q8 | D79 | semidirect |
| 181. Q8 | #11929624 | semidirect |