Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
460 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 460 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 |
|---|---|---|
| 3. #16837733 | C2 | direct (N × H) |
| 4. C2×#14273659 | C2 | semidirect |
| 5. C2×#14273652 | C2 | semidirect |
| 18. #14273659 | C22 | semidirect |
| 19. #14273652 | C22 | semidirect |
| 84. C2×C59 | #483 | semidirect |
| 94. C59 | C2×#483 | semidirect |
| 171. C2 | #16837733 | direct (N × H) |