Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#16837242 |
| Sylow | C59 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
676 conjugacy classes — view the full character table.
| maximal subgroup of | #28509272, C4×#16837242, #28509284, … |
| maximal normal subgroup of | #28509272, C4×#16837242, #28509284, … |
| maximal quotient of | C2×#21422276, C2×#21422277, C2×#21422295, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6814);