Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
360 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 89 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×#14273649 | C2 | semidirect |
| 3. #16837304 | C2 | semidirect |
| 4. #16837165 | C2 | semidirect |
| 5. C2×C4⋊C8×C59 | C2 | semidirect |
| 51. C2×C4×C59 | D8 | semidirect |
| 91. C2×C4⋊C8 | D59 | semidirect |
| 95. C59 | #2054 | semidirect |
| 148. C2×C4 | D472 | semidirect |