Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
708 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 165 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×#14273757 | C2 | semidirect |
| 2. C2×#14273725 | C2 | semidirect |
| 3. #16837585 | C2 | direct (N × H) |
| 4. C2×#14273654 | C2 | semidirect |
| 5. C2×#14273646 | C2 | semidirect |
| 9. #14273757 | C22 | semidirect |
| 14. #14273725 | C22 | semidirect |
| 17. #14273654 | C22 | semidirect |
| 18. #14273646 | C22 | semidirect |
| 111. C2×C59 | #456 | semidirect |
| 119. C59 | C2×#456 | semidirect |
| 223. C2 | #16837585 | direct (N × H) |