Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
294 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 138 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×#10597845 | C2 | semidirect |
| 2. D4×#10597845 | C2 | semidirect |
| 3. #19097850 | C2 | semidirect |
| 4. C2×C4⋊#10597845 | C2 | semidirect |
| 12. #14578955 | C4 | semidirect |
| 13. #14578954 | C4 | semidirect |
| 14. #14578953 | C4 | semidirect |
| 18. #41×C157 | C4 | semidirect |
| 23. Dic314 | C2×C4 | semidirect |
| 24. D628 | C2×C4 | semidirect |
| 25. C22⋊D157 | C2×C4 | semidirect |
| 26. C2×Dic157 | C2×C4 | semidirect |
| 27. C4×D157 | C2×C4 | semidirect |
| 28. C4×D157 | C2×C4 | semidirect |
| 31. Q8×C157 | C2×C4 | semidirect |
| 32. D4×C157 | C2×C4 | semidirect |
| 33. C2×C4×C157 | C2×C4 | semidirect |
| 50. C157 | #520 | semidirect |
| 60. #41 | #10597845 | semidirect |
| 72. Q8 | C2×#10597845 | semidirect |
| 75. D4 | C2×#10597845 | semidirect |
| 84. C2×C4 | C2×#10597845 | semidirect |