Finite Group DatabasebetaFinite Group DatabasebetaOrder 5056.
266 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 111 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×#11929624 | C2 | semidirect |
| 2. #14579181 | C2 | direct (N × H) |
| 3. C2×#11929614 | C2 | semidirect |
| 4. C2×#11929612 | C2 | semidirect |
| 5. C2×#11929611 | C2 | semidirect |
| 6. C2×#11929609 | C2 | semidirect |
| 7. C22×C79⋊C8 | C2 | semidirect |
| 8. C2×#41×C79 | C2 | semidirect |
| 10. #11929624 | C22 | semidirect |
| 15. #11929614 | C22 | semidirect |
| 16. #11929612 | C22 | semidirect |
| 17. #11929611 | C22 | semidirect |
| 18. #11929609 | C22 | semidirect |
| 21. C2×C79⋊C8 | C22 | semidirect |
| 23. #41×C79 | C22 | semidirect |
| 66. C2×C79 | #135 | semidirect |
| 69. C79 | C2×#135 | semidirect |
| 72. C2×#41 | D79 | semidirect |
| 82. #41 | C2×D79 | semidirect |
| 137. C2 | #14579181 | direct (N × H) |