Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
234 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 91 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⋊Dic157 | C2 | semidirect |
| 4. #19097678 | C2 | semidirect |
| 15. C22⋊C4×C157 | C4 | semidirect |
| 32. C2×C4×C157 | C2×C4 | semidirect |
| 37. C22×C157 | C4⋊C4 | semidirect |
| 53. C157 | #385 | semidirect |
| 69. C22⋊C4 | Dic157 | semidirect |
| 86. C2×C4 | C2×Dic157 | semidirect |
| 91. C22 | C4⋊Dic157 | semidirect |