Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
348 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 117 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. C2×C4⋊(C79⋊C8) | C2 | semidirect |
| 3. C2×Dic79⋊C8 | C2 | semidirect |
| 6. #19098317 | C2 | semidirect |
| 7. #336×C79 | C2 | semidirect |
| 43. (C2×D79)⋊C4 | C8 | semidirect |
| 70. C2×C4×C79 | C2×C8 | semidirect |
| 85. C2×Dic79 | C2×C8 | semidirect |
| 107. C2×D79 | C4⋊C8 | semidirect |
| 126. C79 | #1850 | semidirect |
| 133. #336 | D79 | semidirect |
| 209. C2×C4 | C8×D79 | semidirect |