Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
190 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 71 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×#14578933 | C2 | semidirect |
| 5. #19097678 | C2 | semidirect |
| 6. #19097678 | C2 | semidirect |
| 7. C2×C42×C157 | C2 | semidirect |
| 15. #14578931 | C4 | semidirect |
| 74. C157 | #388 | semidirect |
| 80. C2×C42 | D157 | semidirect |