Finite Group DatabasebetaFinite Group DatabasebetaOrder 10112.
612 conjugacy classes of subgroups; only the 237 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 237 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. C2×Q8×Dic79 | C2 | semidirect |
| 3. #19098470 | C2 | semidirect |
| 5. #19098456 | C2 | semidirect |
| 6. #19098438 | C2 | semidirect |
| 7. #19098433 | C2 | semidirect |
| 8. #19098409 | C2 | semidirect |
| 27. #124×C79 | C4 | semidirect |
| 49. C2×Q8×C79 | C2×C4 | semidirect |
| 56. C22⋊C4×C79 | C2×C4 | semidirect |
| 57. C42×C79 | C2×C4 | semidirect |
| 112. C79 | #2326 | semidirect |
| 125. #124 | Dic79 | semidirect |
| 145. C2×Q8 | C2×Dic79 | semidirect |
| 165. C22⋊C4 | C2×Dic79 | semidirect |
| 169. C42 | C2×Dic79 | semidirect |