Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
120 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 57 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×Dic157 | C2 | semidirect |
| 3. #19097705 | C2 | semidirect |
| 4. #19097695 | C2 | semidirect |
| 6. #19097681 | C2 | semidirect |
| 18. SD16×C157 | C4 | semidirect |
| 28. Q8×C157 | C2×C4 | semidirect |
| 33. C8×C157 | C2×C4 | semidirect |
| 49. C157 | #440 | semidirect |
| 61. SD16 | Dic157 | semidirect |
| 72. Q8 | C2×Dic157 | semidirect |
| 83. C8 | C2×Dic157 | semidirect |