Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
124 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 43 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×#14578942 | C2 | semidirect |
| 3. #19097759 | C2 | semidirect |
| 4. C4⋊#11929434 | C2 | semidirect |
| 5. #19097694 | C2 | semidirect |
| 6. #19097691 | C2 | semidirect |
| 7. C4×D4×C157 | C2 | semidirect |
| 55. C157 | #463 | semidirect |
| 60. C4×D4 | D157 | semidirect |