Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
374 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 374 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 |
|---|---|---|
| 1. Q8×D316 | C2 | semidirect |
| 2. #19098973 | C2 | semidirect |
| 3. #19098959 | C2 | semidirect |
| 4. #19098860 | C2 | semidirect |
| 5. #19098853 | C2 | semidirect |
| 6. #19098850 | C2 | semidirect |
| 7. #19098843 | C2 | semidirect |
| 8. #19098694 | C2 | semidirect |
| 11. #554×C79 | C2 | semidirect |
| 47. #11929609 | Q8 | semidirect |
| 78. D4×C79 | C2×Q8 | semidirect |
| 98. C79⋊C8 | C2×Q8 | semidirect |
| 122. C79 | #3384 | semidirect |
| 123. #554 | D79 | semidirect |
| 204. D4 | Q8×D79 | semidirect |