Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
162 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 55 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×#14578937 | C2 | semidirect |
| 3. C4⋊C4×D157 | C2 | semidirect |
| 4. #19097695 | C2 | semidirect |
| 5. #19097693 | C2 | semidirect |
| 6. #19097691 | C2 | semidirect |
| 7. #103×C157 | C2 | semidirect |
| 9. #14578955 | C4 | semidirect |
| 26. D628 | C2×C4 | semidirect |
| 35. Q8×C157 | C2×C4 | semidirect |
| 58. C157 | #417 | semidirect |
| 64. #103 | D157 | semidirect |
| 84. Q8 | C4×D157 | semidirect |