Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
178 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 178 conjugacy classes of subgroups — too many to draw. Only its 53 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×Dic472 | C2 | semidirect |
| 2. C2×#14273673 | C2 | semidirect |
| 5. #16837780 | C2 | semidirect |
| 6. #16837177 | C2 | semidirect |
| 81. C59 | #2251 | semidirect |