Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
170 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 170 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. C2×#14578933 | C2 | semidirect |
| 4. #19097678 | C2 | semidirect |
| 5. #19097678 | C2 | semidirect |
| 6. #19097678 | C2 | semidirect |
| 73. C157 | #397 | semidirect |