Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
432 conjugacy classes of subgroups; only the 217 normal subgroups are shown.
This group has 432 conjugacy classes of subgroups — too many to draw. Only its 217 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. Q8×C79⋊C8 | C2 | semidirect |
| 3. C8×D316 | C2 | semidirect |
| 4. #19098628 | C2 | semidirect |
| 5. #19098614 | C2 | semidirect |
| 6. C4⋊C8×D79 | C2 | semidirect |
| 7. C8×Q8×C79 | C2 | semidirect |
| 24. #11929625 | C8 | semidirect |
| 43. Q8×C79 | C2×C8 | semidirect |
| 50. D316 | C2×C8 | semidirect |
| 54. C4×D79 | C2×C8 | semidirect |
| 75. C79 | #2988 | semidirect |
| 78. C8×Q8 | D79 | semidirect |
| 118. Q8 | C8×D79 | semidirect |