Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
424 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14273727 | C2 | semidirect |
| 3. #16837762 | C2 | semidirect |
| 4. #16837753 | C2 | semidirect |
| 5. #16837749 | C2 | semidirect |
| 6. #16837404 | C2 | semidirect |
| 7. C4×M16×C59 | C2 | semidirect |
| 107. C4×M16 | D59 | semidirect |
| 108. C59 | #3141 | semidirect |