Finite Group DatabasebetaFinite Group DatabasebetaOrder 10048.
158 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 45 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×Q8×D157 | C2 | semidirect |
| 2. C2×#14578942 | C2 | semidirect |
| 4. #19097696 | C2 | semidirect |
| 5. #19097695 | C2 | semidirect |
| 6. #19097683 | C2 | semidirect |
| 7. C2×SD16×C157 | C2 | semidirect |
| 26. Dic314 | D4 | semidirect |
| 37. Q8×C157 | D4 | semidirect |
| 49. C2×D157 | SD16 | semidirect |
| 61. C157 | #448 | semidirect |
| 65. C2×SD16 | D157 | semidirect |
| 91. Q8 | C22⋊D157 | semidirect |