Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
456 conjugacy classes of subgroups; only the 225 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 225 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. #19098615 | C2 | semidirect |
| 6. C4×C8×D79 | C2 | semidirect |
| 7. C8×Q8×C79 | C2 | semidirect |
| 24. #11929625 | C8 | direct (N × H) |
| 44. Q8×C79 | C2×C8 | semidirect |
| 51. D316 | C2×C8 | semidirect |
| 55. C4×D79 | C2×C8 | semidirect |
| 57. C8×C79 | #41 | semidirect |
| 59. C79⋊C8 | #41 | semidirect |
| 76. C79 | C8×#41 | semidirect |
| 79. C8×Q8 | D79 | semidirect |
| 120. Q8 | C8×D79 | semidirect |
| 135. C8 | #11929625 | direct (N × H) |