Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
| direct product | C2×#16837694 |
| Sylow | C59 ⋊ C2×#477 |
416 conjugacy classes of subgroups; only the 173 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 173 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
850 conjugacy classes — view the full character table.
| maximal subgroup of | #28483426, #28483432, #28483433, … |
| maximal normal subgroup of | #28483426, #28483432, #28483433, … |
| maximal quotient of | C2×#21424098, C2×#21424349, C2×#21424685, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14278);