Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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. #16838030 | C2 | semidirect |
| 4. #16837170 | C2 | semidirect |
| 5. #16837163 | C2 | semidirect |
| 6. #16837161 | C2 | semidirect |
| 31. C2×D4×C59 | Q8 | semidirect |
| 120. C59 | #2027 | semidirect |
| 145. C2×D4 | Dic118 | semidirect |